LCM( 120, 136, 130 ) = 26520
Step 1: Write down factorisation of each number:
120 = 2 · 2 · 2 · 3 · 5
136 = 2 · 2 · 2 · 17
130 = 2 · 5 · 13
Step 2 : Match primes vertically:
120 | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | ||||
136 | = | 2 | · | 2 | · | 2 | · | 17 | ||||||
130 | = | 2 | · | 5 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
120 | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | ||||||
136 | = | 2 | · | 2 | · | 2 | · | 17 | ||||||||
130 | = | 2 | · | 5 | · | 13 | ||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 13 | · | 17 | = | 26520 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.