LCM( 65, 70, 55 ) = 10010
Step 1: Write down factorisation of each number:
65 = 5 · 13
70 = 2 · 5 · 7
55 = 5 · 11
Step 2 : Match primes vertically:
65 | = | 5 | · | 13 | ||||||
70 | = | 2 | · | 5 | · | 7 | ||||
55 | = | 5 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
65 | = | 5 | · | 13 | ||||||||
70 | = | 2 | · | 5 | · | 7 | ||||||
55 | = | 5 | · | 11 | ||||||||
LCM | = | 2 | · | 5 | · | 7 | · | 11 | · | 13 | = | 10010 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.