Least Common Multiple of 971/56, 400/8724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/56, 400/8724 quickly i.e. 97100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/56, 400/8724 is 97100.

LCM(971/56, 400/8724) = 97100

LCM of 971/56, 400/8724

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 971/56,400/8724

Given numbers are 971/56,400/8724

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 971,400

Least Common Multiple of Numerators i.e. LCM of 971,400 is 388400.

GCF of Denominators means GCF of 56,8724 as per the given fractions.

GCF of 56,8724 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,400

LCM of Fractions 971/56,400/8724 is 97100

Given numbers has no common factors except 1. So, there LCM is their product i.e 388400

Least Common Multiple of 971,400 with GCF Formula

Least Common Multiple of 971,400 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 971,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,400) = 1

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

GCF(971,400) x common factors =1 x 1 = 1

LCM(971,400) = ( 971 × 400 ) / 1

LCM(971,400) = 388400 / 1

LCM(971,400) = 388400


Lets's calculate GCF of 56,8724

2 56, 8724
2 28, 4362
14, 2181

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 388400/4

Therefore the LCM of Fractions 971/56,400/8724 is 97100

Greatest Common Factor of 56,8724 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,8724 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 8724

List of positive integer factors of 8724 that divides 8724 without a remainder.

1,2,3,4,6,12,727,1454,2181,2908,4362,8724

Greatest Common Factor

We found the factors 56,8724 . The biggest common factor number is the GCF number.
So the greatest common factor 56,8724 is 4.


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 971/56, 400/8724

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 971/56, 400/8724?

Answer: LCM of Numerators as per given numbers 971/56, 400/8724 is

LCM of Numerators i.e. for 971,400 is 388400

GCF of denominators i.e. for 56,8724 is 4.

Thus, LCM of Fractions is 97100.Finally, LCM of Fractions for 971/56, 400/8724 is 97100.