LCM( 76, 122 ) = 4636
Step 1: Write down factorisation of each number:
76 = 2 · 2 · 19
122 = 2 · 61
Step 2 : Match primes vertically:
76 | = | 2 | · | 2 | · | 19 | ||
122 | = | 2 | · | 61 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
76 | = | 2 | · | 2 | · | 19 | ||||
122 | = | 2 | · | 61 | ||||||
LCM | = | 2 | · | 2 | · | 19 | · | 61 | = | 4636 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.