LCM( 378, 4 ) = 756
Step 1: Write down factorisation of each number:
378 = 2 · 3 · 3 · 3 · 7
4 = 2 · 2
Step 2 : Match primes vertically:
378 | = | 2 | · | 3 | · | 3 | · | 3 | · | 7 | ||
4 | = | 2 | · | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
378 | = | 2 | · | 3 | · | 3 | · | 3 | · | 7 | ||||
4 | = | 2 | · | 2 | ||||||||||
LCM | = | 2 | · | 2 | · | 3 | · | 3 | · | 3 | · | 7 | = | 756 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.