Solution - Least common multiple (LCM)
5,040
Step by Step Solution
Least Common Multiple is :
5040Calculate Least Common Multiple for :
28, 40 and 144
Factorize of the above numbers :
28 = 22 • 7
40 = 23 • 5
144 = 24 • 32
Build a prime factors table
| Prime Factor | Number 28 | Number 40 | Number 144 | L.C.M (max) |
|---|---|---|---|---|
| 2 | 2 | 3 | 4 | 4 |
| 3 | 0 | 0 | 2 | 2 |
| 5 | 0 | 1 | 0 | 1 |
| 7 | 1 | 0 | 0 | 1 |
LCM = 24 • 32 • 5 • 7
Least Common Multiple is :
5040How did we do?
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