How to Find Least Common Multiple

How to Find Least Common Multiple

Learn how to find the Least Common Multiple of two or more numbers in few easy steps.

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Step by step guide to finding the Least Common Multiple

  • Least Common Multiple is the smallest multiple that two or more numbers have in common.
  • How to find LCM: list out all the multiples of each number and then find the smallest one they have in common.

Least Common Multiple – Example 1:

Find the LCM for \(8\) and \(6\).

Solution:

Multiples of \(8\): \(8, 16, 24, 32, 40, …\)
Multiples of \(6\): \(6, 12, 18, 24, 30, 36 …\)
LCM \(=24\)

Least Common Multiple – Example 2:

Find the LCM for \(4\) and \(12\).

Solution:

Multiples of \(4\): \(4, 8, 12, 16, 20, …\)
Multiples of \(12\): \(12, 24, 36, 48, …\)
LCM \(=12\)

Least Common Multiple – Example 3:

Find the LCM for \(3\) and \(4\).

Solution:

Multiples of \(3\): \(3,6,9,12,15,18,21,24\)
Multiples of \(4\): \(4,8,12,16,20,24\)
LCM \(=12\)

Least Common Multiple – Example 4:

Find the LCM for \(9\) and \(12\).

Solution:

Multiples of \(9\): \(9,18,27,36,45\)
Multiples of \(12\): \(12,24,36,48\)
LCM \(=36\)

Exercises for Finding Least Common Multiple

Find the LCM for each number pair.

  • \(\color{blue}{4,14}\)
  • \(\color{blue}{5,15}\)
  • \(\color{blue}{16,10}\)
  • \(\color{blue}{4,34}\)
  • \(\color{blue}{8,3}\)
  • \(\color{blue}{12,24}\)

Download Least Common Multiple Worksheet

This image has an empty alt attribute; its file name is answer-3.png

Answers

  • \(\color{blue}{28}\)
  • \(\color{blue}{15}\)
  • \(\color{blue}{80}\)
  • \(\color{blue}{68}\)
  • \(\color{blue}{24}\)
  • \(\color{blue}{24}\)

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