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.
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 2 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.
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.
Name not needed said:
9 years ago
Guys, 360 is the correct answer.
And the answer given is the simplest answer if you know how to do it.
And the answer given is the simplest answer if you know how to do it.
(1)
Sai said:
7 years ago
In the given options 120, 240, 360, 480.
Only 360 is divisible by all nos i.e. 24, 36, 40.
Only 360 is divisible by all nos i.e. 24, 36, 40.
(3)
Mahesh said:
1 decade ago
4|24 36 40
3|6 9 10
2|2 3 10
3|1 3 5
5|1 1 5
|1 1 1
4*3*2*3*5 = 360.
3|6 9 10
2|2 3 10
3|1 3 5
5|1 1 5
|1 1 1
4*3*2*3*5 = 360.
(1)
Sudheer said:
1 decade ago
@Keerthi @Girika.
The LCM of 24, 36, 40 is 360 only, not 720. Once check it.
The LCM of 24, 36, 40 is 360 only, not 720. Once check it.
Janu said:
1 decade ago
Is there any shortcut method for 3 digits number.
Girika said:
1 decade ago
This is wrong. LCM of 24, 36, 40 is 720.
Vyshnavi said:
7 years ago
Nice explanation, thankyou @Tripura.
Keerthi said:
1 decade ago
LCM is 720 How do you get 360?
Kml said:
9 years ago
Thanks for all your solution.
(1)
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