LCM( 56, 65 ) = 3640
Step 1: Write down factorisation of each number:
56 = 2 · 2 · 2 · 7
65 = 5 · 13
Step 2 : Match primes vertically:
56 | = | 2 | · | 2 | · | 2 | · | 7 | ||||
65 | = | 5 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
56 | = | 2 | · | 2 | · | 2 | · | 7 | ||||||
65 | = | 5 | · | 13 | ||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 5 | · | 7 | · | 13 | = | 3640 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.