LCM( 9, 637, 117 ) = 5733
Step 1: Write down factorisation of each number:
9 = 3 · 3
637 = 7 · 7 · 13
117 = 3 · 3 · 13
Step 2 : Match primes vertically:
9 | = | 3 | · | 3 | ||||||
637 | = | 7 | · | 7 | · | 13 | ||||
117 | = | 3 | · | 3 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
9 | = | 3 | · | 3 | ||||||||
637 | = | 7 | · | 7 | · | 13 | ||||||
117 | = | 3 | · | 3 | · | 13 | ||||||
LCM | = | 3 | · | 3 | · | 7 | · | 7 | · | 13 | = | 5733 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.