Solution - Least common multiple (LCM)
10,920
Step by Step Solution
Least Common Multiple is :
10920Calculate Least Common Multiple for :
195, 312 and 546
Factorize of the above numbers :
195 = 3 • 5 • 13
312 = 23 • 3 • 13
546 = 2 • 3 • 7 • 13
Build a prime factors table
| Prime Factor | Number 195 | Number 312 | Number 546 | L.C.M (max) |
|---|---|---|---|---|
| 2 | 0 | 3 | 1 | 3 |
| 3 | 1 | 1 | 1 | 1 |
| 5 | 1 | 0 | 0 | 1 |
| 7 | 0 | 0 | 1 | 1 |
| 13 | 1 | 1 | 1 | 1 |
LCM = 23 • 3 • 5 • 7 • 13
Least Common Multiple is :
10920How did we do?
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