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Question

What is LCM

1 year ago

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321 Replies

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I

Iftikhar


please explain it briefly

321 Answers

M
Melissa K

This is the Lowest Common Multiple

Faraz H Profile Picture
Faraz H Verified Sherpa Tutor ✓

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In maths LCM is the lowest common multiple of two numbers.


If you have two numbers say 3 and 4 the LCM of these two numbers would be 12.

This can be explained by:

Multiples of 3 = 3,6,9,12,15,18...

Multiples of 4 = 4,8,12,16,20,24...


The common multiples off 3 and 4 are 12,24 etc and the lowest of these common multiples is 12 hence the LCM is 12

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Hannah Totman

The answer is Least Common multiple.


The LCM of two or more numbers is the smallest number that is evenly divisible by all numbers in the set.


For example:


By prime factorisation method, we can write 8 and 10 as the product of prime numbers, such that;

8 = 2 × 2 × 2 

10 = 2 × 5

LCM (8, 10) = 2 × 2 × 2 × 5 = 40


Sarrey H Profile Picture
Sarrey H Verified Sherpa Tutor ✓

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LCM stands for Lowest Common Multiple for two or more numbers in Maths. For example, to find the LCM of number 6 and 4, we can

step1: write down the multiples of each number from the smallest onwards

step2: find out the first number that is a multiple of both numbers


So you working will be like this:

Multiples of 4: 4, 8, 12, 16, 20, 24...

Multiples of 6: 6, 12, 18, 24...


As you can see, numbers 12, 24 and propably more if we write down more occured in above lists and they are all the common multiples of 4 and 6. Among all these, 12 is the smallest or lowest, so

12 is the lowest Common Multiple of 4 and 6, that is to say

LCM of 4 and 6 = 12



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Abdul R Profile Picture
Abdul R Verified Sherpa Tutor ✓

Masters graduate in Chemical Engineering

LCM stands for Lowest Common Multiple


For example,


Question: What is the lowest common multiple between (LCM) between 6 and 10 ?


Answer: 30


Explanation:

you have to find a number that is a multiple of 6 and 10 but it has to be a multiple of the two and the lowest value possible. So,


6 x 1 = 6 10 x 1 = 10

6 x 2 = 12 10 x 2 = 20

6 x 3 = 18 10 x 3 = 30

6 x 4 = 24 10 x 4 = 40

6 x 5 = 30 10 x 5 = 50


From the timestable you can see that 30 is the lowest common multiple between 6 and 10. 60 is also a multiple if you continue the timestable but that is not the lowest value. Therefore, its important you always take the lowest value



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P
Prachi Gangar

LCM stands for Least Common Multiple. It's the smallest multiple that two or more numbers have in common. For example, the LCM of 4 and 6 is 12 because it's the smallest number that both 4 and 6 can divide evenly into.

M
Molly L

LCM means LOWEST or LEAST COMMON MULTIPLE the smallest multiple that 2 or more numbers have in common. EG

intergers (numbers) 2 and 3

multiples of 2 are 2, 4,6 8,10, 12, 14, 16,18

multiples of 3 are 3.6.9.12.15.18

6, 12, 18 are common (the same) in the multiples of 2 and 3

6 is the smallest /least multiple

R
Rishu

LCM is least common multiple. For example; LCM of 5 and 15 is 15.

J
Jordan Selig

LCM is the Lowest Common Multiple of 2 numbers. That means the lowest number that appears in both their times tables.


Some examples - what's the LCM of 2 and 3? Well, 6 is in BOTH the 2x table (2x3) and 3x table. (3x2)

Whats the LCM of 8 and 12? 24 is in both the 8x table (8x3) and the 12x table (12x2).


I'd work it out by writing down the 1st 5 numbers in both times tables (that's usually enough) and circling the numbers they both share. The lowest of the numbers you circle = the LCM.


M
Mathieu Daniel

LCM means Least Common multiple or factor. It is also the multiple of any two or more given integers. For example: LCM 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.

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Lowest Common Multiple! An LCM between two numbers is the smallest number that is a multiple of both. For example, between 6 and 7, the LCM would be 42, as this is the smallest number that is a multiple of both!

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K
Karan Pandya

It is simply the smallest of the common multiples.

For Example, what is LCM of 3 and 5?

The multiples of 3 are 3, 6, 9, 12, 15, 18, ...

The multiples of 5 are 5, 10, 15, 20, 25, ...

Find the first Common (same) value which is 15

So the Least Common Multiple of 3 and 5 is 15

S
Sudip Bahadur Karki

LCM stands for lowest common multiple. LCM is a number which can be divisible by a set of numbers. For example, 12 is the LCM of 1, 2, 3, 4, 6 and 12. This means 12 can be divided exactly by 1, 2, 3, 4, 6, and 12 itself.

R
Ruksana Khatoon

Least common multiples..

example- LCM of two numbers is divisible by both numbers. For example, the LCM of 6 and 8 is 24. Hence 24 is divisible by both 6 and 8.

M
Morgan Hynes

LCM is the lowest common multiple of a variety of numbers. For example, the LCM (lowest common multiple) of 3 and 12 is 12.

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