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.
Example: Find the LCM of 6, 7, and 21 by listing multiples.
Solution:
LCM of 6, 7, 21
Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60.
Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70.
Multiples of 21 = 21, 42, 63, 84, 105, 126, 147, 168, 189, 210.
Now, the smallest number that is common in all the lists is 42.
Hence,
LCM(6, 7, 21) = 42
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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