LCM using Division Method

First, we need to write all the numbers in a horizontal line separated by commas. Then, we divide all the given numbers by the smallest prime number. Then, we write the quotient and undivided numbers in a new line below the previous line.

We repeat this procedure until we come to the stage where no prime factor is common. The, we find the product of all divisors and the resultant number we get is the LCM. 

Example: Find LCM of 6, 8, 5, 4, 3 by Division method.

Solution:

LCM of 6, 8, 5, 4, 3 can be calculated as follow:

Hence the LCM(6, 8, 5, 4, 3) = 120

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LCM Formula

LCM Formula: LCM stands for Least Common Multiple. LCM of two numbers say a and b is defined as the smallest positive integer divisible by both the numbers a and b. Hence, the LCM is the smallest common multiple of two or more numbers. It is also called lowest common multiple, or smallest common multiple.

In this article, we will discuss LCM, Formulas to calculate LCM, and different methods used to find the LCM of two or more numbers.

Table of Content

  • What is LCM?
  • LCM Formula
  • Finding LCM using HCF Formula
  • LCM Formula for 2 Numbers
  • LCM of Fractions
  • LCM Calculator
  • How to Find LCM (Lowest Common Multiple)?
  • LCM by Listing Multiples
  • LCM using Prime Factorization Method
  • LCM using Division Method
  • LCM Formula Examples
  • Practice Questions on LCM Formula
  • Properties of LCM

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What is LCM?

LCM stands for Least Common Multiples which can be defined as the smallest positive integer that is evenly divisible by all the given numbers. It is also known as the Least Common Divisor (LCD). For example: LCM (5, 15) = 15, Here 15 is the smallest common multiple divisible by both 5 and 15....

LCM Formula

The table below represents the LCM formulas used in different cases:...

Finding LCM using HCF Formula

LCM can also be derived using GCD or HCF. If a, and b are any numbers then, we have,...

LCM Formula for 2 Numbers

To find the Least Common Multiple (LCM) of three numbers, you can use a formula that involves their greatest common divisor (GCD)....

LCM of Fractions

To find the LCM of two fractions we first compute the LCM of Numerators and GCD of the Denominators. Then, both these results will be expressed as a fraction. The formula to calculate LCM of two fractions is given below:...

LCM Calculator

Try out the following calculator to find LCM of two or more numbers....

How to Find LCM (Lowest Common Multiple)?

Least Common Multiple or LCM of two or more numbers can be find by the following three methods:...

LCM by Listing Multiples

In this method, we need to list the multiples of each number until at least one of the multiples appears on all the lists. Then, the LCM is the smallest number that is on all of the lists....

LCM using Prime Factorization Method

In this method, we need to write all numbers as a product of their prime factors. Then, LCM will be the product of the highest powers of all prime numbers....

LCM using Division Method

First, we need to write all the numbers in a horizontal line separated by commas. Then, we divide all the given numbers by the smallest prime number. Then, we write the quotient and undivided numbers in a new line below the previous line....

LCM Formula Examples

Example 1: Find out the LCM of 4 and 10....

Practice Questions on LCM Formula

Question 1: Find the LCM of 22, 25, 11 and 8 by division method....

Properties of LCM

PropertyDescriptionDistributive PropertyLCM(da, db, dc) = dLCM(a, b, c)Commutative PropertyLCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c))Associative PropertyLCM(a, b) = LCM(b, a)...

LCM Formula – FAQs

What is Formula of LCM and HCF?...