Solution - Least common multiple (LCM)
12,600
Step by Step Solution
Least Common Multiple is :
12600Calculate Least Common Multiple for :
75, 120 and 315
Factorize of the above numbers :
75 = 3 • 52
120 = 23 • 3 • 5
315 = 32 • 5 • 7
Build a prime factors table
| Prime Factor | Number 75 | Number 120 | Number 315 | L.C.M (max) |
|---|---|---|---|---|
| 2 | 0 | 3 | 0 | 3 |
| 3 | 1 | 1 | 2 | 2 |
| 5 | 2 | 1 | 1 | 2 |
| 7 | 0 | 0 | 1 | 1 |
LCM = 23 • 32 • 52 • 7
Least Common Multiple is :
12600How did we do?
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