LCM( 2968, 4292 ) = 3184664
Step 1: Write down factorisation of each number:
2968 = 2 · 2 · 2 · 7 · 53
4292 = 2 · 2 · 29 · 37
Step 2 : Match primes vertically:
2968 | = | 2 | · | 2 | · | 2 | · | 7 | · | 53 | ||||
4292 | = | 2 | · | 2 | · | 29 | · | 37 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
2968 | = | 2 | · | 2 | · | 2 | · | 7 | · | 53 | ||||||
4292 | = | 2 | · | 2 | · | 29 | · | 37 | ||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 7 | · | 29 | · | 37 | · | 53 | = | 3184664 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.