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 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 3 of 4.
Dipali Patkar said:
9 years ago
@Ashif.
18 * 16 = 288.
18 * 16 = 288.
Onkar Rana said:
9 years ago
Why they put x = 4? Explain me.
Pranathi said:
8 years ago
4 * lcm=3x * 4x.
4 * lcm=3 * 4 * 4 * 4,
Lcm = 12 * 16 ÷ 4.
= 48 -> Is this correct?
4 * lcm=3 * 4 * 4 * 4,
Lcm = 12 * 16 ÷ 4.
= 48 -> Is this correct?
Kushal said:
8 years ago
Here given two ratios are 3:4 and given HCF is 4 so that's the highest common factor so one can think that could be multiple of 3:4.
So just multiplied with 3*4 and 4*4 so two numbers we get are 12 and 16 take out LCM by 12->2*2*3 and of 16->2*2*2*2-> 2*2*3*2*2->48.
So just multiplied with 3*4 and 4*4 so two numbers we get are 12 and 16 take out LCM by 12->2*2*3 and of 16->2*2*2*2-> 2*2*3*2*2->48.
Rupesh said:
7 years ago
Hcf = product/lcm.
= 3*4+4*4/4.
= 48.
= 3*4+4*4/4.
= 48.
Arul said:
7 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.
(1)
Rahul said:
7 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.
Hema said:
6 years ago
4x*3x = 12x.
12x= 4(hcf),
So x=3.
How 4?
12x= 4(hcf),
So x=3.
How 4?
(2)
Tulasi said:
5 years ago
How come x as 4? Please explain to me.
(5)
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.
LCM 12x.
Also 3x *4x=LCM*HCF.
3x*4x=12x.
X=4.
Numbers are 12, 16.
LCM =12x = 48 is the answer.
(4)
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers