LCM( 5650, 2350 ) = 265550
Step 1: Write down factorisation of each number:
5650 = 2 · 5 · 5 · 113
2350 = 2 · 5 · 5 · 47
Step 2 : Match primes vertically:
5650 | = | 2 | · | 5 | · | 5 | · | 113 | ||
2350 | = | 2 | · | 5 | · | 5 | · | 47 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
5650 | = | 2 | · | 5 | · | 5 | · | 113 | ||||
2350 | = | 2 | · | 5 | · | 5 | · | 47 | ||||
LCM | = | 2 | · | 5 | · | 5 | · | 47 | · | 113 | = | 265550 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.