LCM( 35, 50, 125 ) = 1750
Step 1: Write down factorisation of each number:
35 = 5 · 7
50 = 2 · 5 · 5
125 = 5 · 5 · 5
Step 2 : Match primes vertically:
35 | = | 5 | · | 7 | ||||||
50 | = | 2 | · | 5 | · | 5 | ||||
125 | = | 5 | · | 5 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
35 | = | 5 | · | 7 | ||||||||
50 | = | 2 | · | 5 | · | 5 | ||||||
125 | = | 5 | · | 5 | · | 5 | ||||||
LCM | = | 2 | · | 5 | · | 5 | · | 5 | · | 7 | = | 1750 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.