Least Common Multiple of 9451/400, 7124/3872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9451/400, 7124/3872 quickly i.e. 5179148/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9451/400, 7124/3872 is 5179148/16.

LCM(9451/400, 7124/3872) = 5179148/16

LCM of 9451/400, 7124/3872

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 9451/400,7124/3872

Given numbers are 9451/400,7124/3872

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 9451,7124

Least Common Multiple of Numerators i.e. LCM of 9451,7124 is 5179148.

GCF of Denominators means GCF of 400,3872 as per the given fractions.

GCF of 400,3872 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9451,7124

LCM of Fractions 9451/400,7124/3872 is 5179148/16

13 9451, 7124
727, 548

∴ So the LCM of the given numbers is 13 x 727 x 548 = 5179148

Least Common Multiple of 9451,7124 with GCF Formula

Least Common Multiple of 9451,7124 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 9451,7124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9451,7124) = 13

common factors(in case of two or more numbers have common factors) = 1

GCF(9451,7124) x common factors =13 x 1 = 13

LCM(9451,7124) = ( 9451 × 7124 ) / 13

LCM(9451,7124) = 67328924 / 13

LCM(9451,7124) = 5179148


Lets's calculate GCF of 400,3872

2 400, 3872
2 200, 1936
2 100, 968
2 50, 484
25, 242

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5179148/16

Therefore the LCM of Fractions 9451/400,7124/3872 is 5179148/16

Greatest Common Factor of 400,3872 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,3872 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 3872

List of positive integer factors of 3872 that divides 3872 without a remainder.

1,2,4,8,11,16,22,32,44,88,121,176,242,352,484,968,1936,3872

Greatest Common Factor

We found the factors 400,3872 . The biggest common factor number is the GCF number.
So the greatest common factor 400,3872 is 16.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 9451/400, 7124/3872

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 9451/400, 7124/3872?

Answer: LCM of Numerators as per given numbers 9451/400, 7124/3872 is

LCM of Numerators i.e. for 9451,7124 is 5179148

GCF of denominators i.e. for 400,3872 is 16.

Thus, LCM of Fractions is 5179148/16.Finally, LCM of Fractions for 9451/400, 7124/3872 is 5179148/16.