LCM( 48, 38, 78 ) = 11856
Step 1: Write down factorisation of each number:
48 = 2 · 2 · 2 · 2 · 3
38 = 2 · 19
78 = 2 · 3 · 13
Step 2 : Match primes vertically:
48 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | ||||
38 | = | 2 | · | 19 | ||||||||||
78 | = | 2 | · | 3 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
48 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | ||||||
38 | = | 2 | · | 19 | ||||||||||||
78 | = | 2 | · | 3 | · | 13 | ||||||||||
LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 13 | · | 19 | = | 11856 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.