Solution - Least common multiple (LCM)
5,105,100
Step by Step Solution
Least Common Multiple is :
5105100Calculate Least Common Multiple for :
1275, 2310 and 1820
Factorize of the above numbers :
1275 = 3 • 52 • 17
2310 = 2 • 3 • 5 • 7 • 11
1820 = 22 • 5 • 7 • 13
Build a prime factors table
| Prime Factor | Number 1275 | Number 2310 | Number 1820 | L.C.M (max) |
|---|---|---|---|---|
| 2 | 0 | 1 | 2 | 2 |
| 3 | 1 | 1 | 0 | 1 |
| 5 | 2 | 1 | 1 | 2 |
| 7 | 0 | 1 | 1 | 1 |
| 11 | 0 | 1 | 0 | 1 |
| 13 | 0 | 0 | 1 | 1 |
| 17 | 1 | 0 | 0 | 1 |
LCM = 22 • 3 • 52 • 7 • 11 • 13 • 17
Least Common Multiple is :
5105100How did we do?
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