# 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:

Answer: Option

Explanation:

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

So, the numbers 12 and 16.

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

Discussion:

34 comments Page 1 of 4.
Anki said:
5 months ago

Here, 3 * 4 * 4 = 48.

(2)

Mayur said:
9 months ago

Let,

LCM = LCM of ratio units x(multiply) HCF.

LCM = 12 x 4(given),

LCM = 48.

LCM = LCM of ratio units x(multiply) HCF.

LCM = 12 x 4(given),

LCM = 48.

(3)

Nikita said:
12 months 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.

And no's are given 3x and 4x.

Putting value of x in above equations

3(4) = 12,

4(4) = 16.

Kelbin said:
1 year ago

3/4=4/LCM.

LCM/3=4 * 4,

LCM=16 * 3,

LCM=48.

LCM/3=4 * 4,

LCM=16 * 3,

LCM=48.

Manish kumar said:
2 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.

LCM 12x.

Also 3x *4x=LCM*HCF.

3x*4x=12x.

X=4.

Numbers are 12, 16.

LCM =12x = 48 is the answer.

Tulasi said:
3 years ago

How come x as 4? Please explain to me.

Hema said:
4 years ago

4x*3x = 12x.

12x= 4(hcf),

So x=3.

How 4?

12x= 4(hcf),

So x=3.

How 4?

Rahul said:
4 years ago

3x ,4x be the two numbers and the given Question HCF is given so take HCF of (3, 4) = 1x.

So x = 4.

3*4=12,

4*4=16,

LCM = 48.

So x = 4.

3*4=12,

4*4=16,

LCM = 48.

Arul said:
5 years ago

How x=3 why not 4?

LCM*HCF=product.

X*4=3x*4x.

X=3.

LCM*HCF=product.

X*4=3x*4x.

X=3.

Rupesh said:
5 years ago

Hcf = product/lcm.

= 3*4+4*4/4.

= 48.

= 3*4+4*4/4.

= 48.

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