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. 17)
17.
What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
196
630
1260
2520
Answer: Option
Explanation:

L.C.M. of 12, 18, 21 30 2 | 12 - 18 - 21 - 30

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= 2 x 3 x 2 x 3 x 7 x 5 = 1260. 3 | 6 - 9 - 21 - 15

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Required number = (1260 รท 2) | 2 - 3 - 7 - 5

= 630.
Discussion:
30 comments Page 2 of 3.

Preksha Darshan said:   6 years ago
630 is the right answer.

Braj said:   6 years ago
The correct answer is 1260.

CHINMAYEE said:   7 years ago
If triple then 3 is diveded.

Abhilash said:   7 years ago
@Mobin.

The easiest way of finding HCF for eg; 12, 18, 21, 30
Ans : 3.

First, see the least difference between any two numbers, suppose between 18 and 21, the diff is 3.

Now see if 12,18,21,30 are divisible by 3. If divisible then 3 is the answer.

Mobin said:   7 years ago
Can anyone say what is HCF of 12, 18, 21, 30?

Please explain it.

Govind said:   8 years ago
Thanks for the given explanation.

Tinku said:   8 years ago
Thanks for the explanation.

Ritesh said:   9 years ago
Why divided by 2, in L.C.F?

Rajesh said:   9 years ago
The double of 1260 = 158760 is also divisible by 12, 18, 21, 30.

So, why can't option (c) 1260 be the answer?

Aasritha said:   9 years ago
Thank you Parnassus for it. I didn't understand it first.


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