LCM( 39375, 19490627 ) = 767443438125
Step 1: Write down factorisation of each number:
39375 = 3 · 3 · 5 · 5 · 5 · 5 · 7
19490627 = 13 · 151 · 9929
Step 2 : Match primes vertically:
39375 | = | 3 | · | 3 | · | 5 | · | 5 | · | 5 | · | 5 | · | 7 | ||||||
19490627 | = | 13 | · | 151 | · | 9929 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
39375 | = | 3 | · | 3 | · | 5 | · | 5 | · | 5 | · | 5 | · | 7 | ||||||||
19490627 | = | 13 | · | 151 | · | 9929 | ||||||||||||||||
LCM | = | 3 | · | 3 | · | 5 | · | 5 | · | 5 | · | 5 | · | 7 | · | 13 | · | 151 | · | 9929 | = | 767443438125 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.