Aptitude - Problems on H.C.F and L.C.M - Discussion

Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 11)
11.
Find the lowest common multiple of 24, 36 and 40.
120
240
360
480
Answer: Option
Explanation:
 2 | 24  -  36  - 40
--------------------
2 | 12 - 18 - 20
--------------------
2 | 6 - 9 - 10
-------------------
3 | 3 - 9 - 5
-------------------
| 1 - 3 - 5

L.C.M. = 2 x 2 x 2 x 3 x 3 x 5 = 360.
Discussion:
21 comments Page 3 of 3.

Raviteja said:   1 decade ago
24=2*2*2*3=(2^3 * 3^1).
36=2*2*2*3*3=(2^3 * 3^2).
40=2*2*2*3*5=(2^3 * 3^1 * 5^1).
For L.C.M take largest power primes
L.C.M=2^3 * 3^2 * 5^1=2*2*2*3*3*5=360.


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