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. 18)
18.
The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:
12
16
24
48
Answer: Option
Explanation:

Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.

So, the numbers 12 and 16.

L.C.M. of 12 and 16 = 48.

Discussion:
35 comments Page 1 of 4.

Mayur said:   3 years ago
Let,
LCM = LCM of ratio units x(multiply) HCF.
LCM = 12 x 4(given),
LCM = 48.
(13)

Anki said:   3 years ago
Here, 3 * 4 * 4 = 48.
(8)

YAsh said:   1 year ago
The formula of LCM :

LCM = HCF * X * Y,
LCM = 4 * 4 * 3,
LCM = 48.
(6)

Tulasi said:   5 years ago
How come x as 4? Please explain to me.
(5)

Kelbin said:   4 years ago
3/4=4/LCM.
LCM/3=4 * 4,
LCM=16 * 3,
LCM=48.
(5)

Nikita said:   3 years ago
As x = 4.
And no's are given 3x and 4x.
Putting value of x in above equations
3(4) = 12,
4(4) = 16.
(4)

Manish kumar said:   4 years ago
Let numbers be 3x and 4x.

LCM 12x.

Also 3x *4x=LCM*HCF.
3x*4x=12x.
X=4.
Numbers are 12, 16.

LCM =12x = 48 is the answer.
(4)

Hema said:   6 years ago
4x*3x = 12x.
12x= 4(hcf),
So x=3.
How 4?
(2)

Reuben said:   1 decade ago
hcf of any two numbers is a factor of those two numbers .. means example if u take hcf of 12 and 18 .. its 6 .. it means 6 is a factor of 12 and 18. 6*2=12 6*3=18
now if i say there are two numbers in ratio 2:3 whose hcf is 6 how will u write the two numbers ??
solve my question and u will understand it
ans: hcf*2 is one number hcf*3 is the other
(1)

Arul said:   7 years ago
How x=3 why not 4?

LCM*HCF=product.
X*4=3x*4x.
X=3.
(1)


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