Solution - Least common multiple (LCM)
10,200
Step by Step Solution
Least Common Multiple is :
10200Calculate Least Common Multiple for :
85, 120 and 75
Factorize of the above numbers :
85 = 5 • 17
120 = 23 • 3 • 5
75 = 3 • 52
Build a prime factors table
| Prime Factor | Number 85 | Number 120 | Number 75 | L.C.M (max) |
|---|---|---|---|---|
| 2 | 0 | 3 | 0 | 3 |
| 3 | 0 | 1 | 1 | 1 |
| 5 | 1 | 1 | 2 | 2 |
| 17 | 1 | 0 | 0 | 1 |
LCM = 23 • 3 • 52 • 17
Least Common Multiple is :
10200How did we do?
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