LCM( 570, 1425 ) = 2850
Step 1: Write down factorisation of each number:
570 = 2 · 3 · 5 · 19
1425 = 3 · 5 · 5 · 19
Step 2 : Match primes vertically:
570 | = | 2 | · | 3 | · | 5 | · | 19 | ||
1425 | = | 3 | · | 5 | · | 5 | · | 19 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
570 | = | 2 | · | 3 | · | 5 | · | 19 | ||||
1425 | = | 3 | · | 5 | · | 5 | · | 19 | ||||
LCM | = | 2 | · | 3 | · | 5 | · | 5 | · | 19 | = | 2850 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.