LCM( 28, 34, 40 ) = 4760
Step 1: Write down factorisation of each number:
28 = 2 · 2 · 7
34 = 2 · 17
40 = 2 · 2 · 2 · 5
Step 2 : Match primes vertically:
28 | = | 2 | · | 2 | · | 7 | ||||||
34 | = | 2 | · | 17 | ||||||||
40 | = | 2 | · | 2 | · | 2 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
28 | = | 2 | · | 2 | · | 7 | ||||||||
34 | = | 2 | · | 17 | ||||||||||
40 | = | 2 | · | 2 | · | 2 | · | 5 | ||||||
LCM | = | 2 | · | 2 | · | 2 | · | 5 | · | 7 | · | 17 | = | 4760 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.