LCM( 2880, 1400 ) = 100800
Step 1: Write down factorisation of each number:
2880 = 2 · 2 · 2 · 2 · 2 · 2 · 3 · 3 · 5
1400 = 2 · 2 · 2 · 5 · 5 · 7
Step 2 : Match primes vertically:
2880 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 5 | ||||
1400 | = | 2 | · | 2 | · | 2 | · | 5 | · | 5 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
2880 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 5 | ||||||
1400 | = | 2 | · | 2 | · | 2 | · | 5 | · | 5 | · | 7 | ||||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 5 | · | 5 | · | 7 | = | 100800 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.