How do you calculate an LCM?
How to Find LCM using Prime Factorization?Step 1: Find the prime factors of the given numbers by repeated division method. Here, it will be 6 = 2 × 3, and 8 = 2 × 2 × 2.Step 2: Write the numbers in their exponent form. ... Step 3: The product of these factors with the highest powers will be the LCM of the given numbers.
What is the quickest way to find the LCM?
2:167:15Fastest and Easiest way to find LCM - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo let us take these numbers again 4 8 and 16 the trick is very simple all you need to do is youMoreSo let us take these numbers again 4 8 and 16 the trick is very simple all you need to do is you need to take the highest. Number from the given set of numbers.
What is the easiest way to find LCM and HCF?
0:382:44A Quick Trick to Find the HCF and LCM of 2 Numbers | Don't MemoriseYouTubeStart of suggested clipEnd of suggested clipThe first case would have numbers like four. And eight eight is a multiple of four or numbers likeMoreThe first case would have numbers like four. And eight eight is a multiple of four or numbers like 21 and 7 21 is a multiple of seven one number is a multiple of the other.
How many methods are there to find LCM and name them?
The two principal methods which are used to find the LCM (Least Common Multiple) and the HCF (Highest Common Factor) of the numbers are the Prime Factorization Method and Division Method.
What is the fastest way to find the LCM of 3 numbers?
0:344:21Find Out LCM of 3 or More Numbers in Just 2 Seconds | Fastest Math TricksYouTubeStart of suggested clipEnd of suggested clipSo the LCM of the given numbers 5 10 15 30 is 30 because 30 is the highest number in the given.MoreSo the LCM of the given numbers 5 10 15 30 is 30 because 30 is the highest number in the given. Numbers. So the answer is 30 see this is simple if you know this trick.
What is the fastest way to find GCF?
0:0610:28How To Find The Greatest Common Factor Quickly! - YouTubeYouTubeStart of suggested clipEnd of suggested clipNow once you have the prime factorization of each number notice the common prime numbers that areMoreNow once you have the prime factorization of each number notice the common prime numbers that are present. So 5 goes into 15 and 35. So 5 is a factor of 15 and 35.
What is the fastest way to find the HCF?
3:157:24Fastest and Easiest way to find HCF - YouTubeYouTubeStart of suggested clipEnd of suggested clipBecause as we can see difference between 15 and 20 is 5 and difference between 30 and 20 is 10 againMoreBecause as we can see difference between 15 and 20 is 5 and difference between 30 and 20 is 10 again here it is again 5 and your it is 20. So we can say that the least difference would be 5.
What is the LCM of 4 and 6?
So, the LCM of 4 and 6 is 12. When adding, subtracting, or comparing fractions, we require a common denominator.
How to find common denominator?
One way to get a common denominator is to find the LCM of the denominators. For instance, In this example, we need a common denominator to add the fractions. The LCM of 21 and 6 is 42, which is therefore an option for a common denominator.
What is the least common multiple of two integers?
The least common multiple of two integers a and b is the smallest positive integer that is divisible by both a and b. By “least,” we mean “smallest” or “lowest” common multiple. For this explanation, we will refer to the least common multiple of a and b as LCM ( a, b ), but the notation “LCM” is not something you need to know for GMAT questions.
Do you need to compute LCM on GMAT?
In other questions, you will need to add fractions and can find the LCM handy as a common denominator for those fractions. On yet other questions, you will not need to compute the LCM but the kind of thinking that we are discussing here will be central to the question.
How to find the LCM of two numbers?
One of the quickest ways to find the LCM of two numbers is to use the prime factorization of each number and then the product of the least powers of the common prime factors will be the LCM of those numbers. Explore the world of LCM by going through its various aspects and properties. 1.
What does LCM mean in math?
The abbreviation LCM stands for Least Common Multiple. The least common multiple of a number is the smallest number that is the product of two or more numbers. The least common multiple can be calculated for two or more integers as well as two or more fractions. The least common multiple of two numbers is the lowest possible number ...
What is the difference between LCM and HCF?
The HCF or the Highest common factor of two or more numbers is the highest or the greatest factor among all the common factors of the given numbers , whereas the LCM or the least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers .
What is LCM formula?
LCM formulas are the collection of the numbers, their LCM, and their HCF (Highest Common Factor). These formulas are used to calculate the least common multiple of two integers as well as the LCM of two fractions. The LCM formulas for integers and fractions are shown below.
How to find the relationship between LCM and HCF?
Let's assume a and b are the two numbers. Then the formula that gives the relationship between their LCM and HCF is given as; LCM (a,b) × HCF (a,b) = a × b.
What is the LCM of 4 and 5?
Hence, by the definition of least common multiple, the LCM of 4 and 5 is 20.
How to Find the Least Common Multiple?
LCM of numbers can be calculated using various methods. There are 3 methods to find the least common multiple of two numbers. Each method is explained below with some examples of LCM.
Question
If the LCM of two numbers a and b is 1104 and their HCF is 4, which of the following MUST be true?
Explanatory Answer
Before we start solving the question in hand, here are a couple of important concepts that we need to know.
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How to Find LCM?
As we have already discussed, the least common multiple is the smallest common multiple for any two or more given numbers.
How to find LCM of two numbers?
Finding LCM of two numbers by division method is an easy method. Below are the steps to find the LCM by division method: 1 First, write the numbers, separated by commas 2 Now divide the numbers, with the smallest prime number. 3 If any number is not divisible, then write down that number and proceed further 4 Keep on dividing the row of numbers by prime numbers, unless we get the results as 1 in the complete row 5 Now LCM of the numbers will equal to the product of all the prime numbers we obtained in division method
What is the difference between LCM and HCF?
The LCM is used to find the least possible common multiples of two or more numbers whereas HCF is a method to find the highest possible common factor among the numbers. But both can be related by the formulas:
Why is LCM used in arithmetic?
While performing any arithmetic operations such as addition, subtraction with fractions, LCM is used to make the denominators common. This process makes the simplification process easier.
What is the HCF in math?
HCF is used to derive the highest common factors of any two or more given integers. It is also called as Greatest Common Divisor (GCD). For example, the H.C.F. of 2,6,8 is 2, because all the three numbers can be divided with the factor 2, commonly. H.C.F. and L.C.M. both have equal importance in Maths.
What is the LCM of 16 and 20?
LCM denotes the least common factor or multiple of any two or more given integers. For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.
How to get LCM from tree diagram?
From the above tree diagram, we can take the pair of common factors and unique factors from the branches of both the numbers and multiply them as a whole to get the LCM. Therefore,
