LCM( 25, 55, 70 ) = 3850
Step 1: Write down factorisation of each number:
25 = 5 · 5
55 = 5 · 11
70 = 2 · 5 · 7
Step 2 : Match primes vertically:
25 | = | 5 | · | 5 | ||||||
55 | = | 5 | · | 11 | ||||||
70 | = | 2 | · | 5 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
25 | = | 5 | · | 5 | ||||||||
55 | = | 5 | · | 11 | ||||||||
70 | = | 2 | · | 5 | · | 7 | ||||||
LCM | = | 2 | · | 5 | · | 5 | · | 7 | · | 11 | = | 3850 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.