LCM( 12856, 6248 ) = 10040536
Step 1: Write down factorisation of each number:
12856 = 2 · 2 · 2 · 1607
6248 = 2 · 2 · 2 · 11 · 71
Step 2 : Match primes vertically:
12856 | = | 2 | · | 2 | · | 2 | · | 1607 | ||||
6248 | = | 2 | · | 2 | · | 2 | · | 11 | · | 71 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
12856 | = | 2 | · | 2 | · | 2 | · | 1607 | ||||||
6248 | = | 2 | · | 2 | · | 2 | · | 11 | · | 71 | ||||
LCM | = | 2 | · | 2 | · | 2 | · | 11 | · | 71 | · | 1607 | = | 10040536 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.