LCM( 3825, 5005 ) = 3828825
Step 1: Write down factorisation of each number:
3825 = 3 · 3 · 5 · 5 · 17
5005 = 5 · 7 · 11 · 13
Step 2 : Match primes vertically:
3825 | = | 3 | · | 3 | · | 5 | · | 5 | · | 17 | ||||||
5005 | = | 5 | · | 7 | · | 11 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
3825 | = | 3 | · | 3 | · | 5 | · | 5 | · | 17 | ||||||||
5005 | = | 5 | · | 7 | · | 11 | · | 13 | ||||||||||
LCM | = | 3 | · | 3 | · | 5 | · | 5 | · | 7 | · | 11 | · | 13 | · | 17 | = | 3828825 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.