LCM( 140, 156 ) = 5460
Step 1: Write down factorisation of each number:
140 = 2 · 2 · 5 · 7
156 = 2 · 2 · 3 · 13
Step 2 : Match primes vertically:
140 | = | 2 | · | 2 | · | 5 | · | 7 | ||||
156 | = | 2 | · | 2 | · | 3 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
140 | = | 2 | · | 2 | · | 5 | · | 7 | ||||||
156 | = | 2 | · | 2 | · | 3 | · | 13 | ||||||
LCM | = | 2 | · | 2 | · | 3 | · | 5 | · | 7 | · | 13 | = | 5460 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.