Solution - Least common multiple (LCM)
48,450
Step by Step Solution
Least Common Multiple is :
48450Calculate Least Common Multiple for :
57, 75 and 102
Factorize of the above numbers :
57 = 3 • 19
75 = 3 • 52
102 = 2 • 3 • 17
Build a prime factors table
| Prime Factor | Number 57 | Number 75 | Number 102 | L.C.M (max) |
|---|---|---|---|---|
| 2 | 0 | 0 | 1 | 1 |
| 3 | 1 | 1 | 1 | 1 |
| 5 | 0 | 2 | 0 | 2 |
| 17 | 0 | 0 | 1 | 1 |
| 19 | 1 | 0 | 0 | 1 |
LCM = 2 • 3 • 52 • 17 • 19
Least Common Multiple is :
48450How did we do?
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