Least Common Multiple of 973/56, 896/5420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 973/56, 896/5420 quickly i.e. 31136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 973/56, 896/5420 is 31136.

LCM(973/56, 896/5420) = 31136

LCM of 973/56, 896/5420

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 973/56,896/5420

Given numbers are 973/56,896/5420

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 973,896

Least Common Multiple of Numerators i.e. LCM of 973,896 is 124544.

GCF of Denominators means GCF of 56,5420 as per the given fractions.

GCF of 56,5420 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 973,896

LCM of Fractions 973/56,896/5420 is 31136

7 973, 896
139, 128

∴ So the LCM of the given numbers is 7 x 139 x 128 = 124544

Least Common Multiple of 973,896 with GCF Formula

Least Common Multiple of 973,896 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 973,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,896) = 7

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

GCF(973,896) x common factors =7 x 1 = 7

LCM(973,896) = ( 973 × 896 ) / 7

LCM(973,896) = 871808 / 7

LCM(973,896) = 124544


Lets's calculate GCF of 56,5420

2 56, 5420
2 28, 2710
14, 1355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124544/4

Therefore the LCM of Fractions 973/56,896/5420 is 31136

Greatest Common Factor of 56,5420 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,5420 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 5420

List of positive integer factors of 5420 that divides 5420 without a remainder.

1,2,4,5,10,20,271,542,1084,1355,2710,5420

Greatest Common Factor

We found the factors 56,5420 . The biggest common factor number is the GCF number.
So the greatest common factor 56,5420 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 973/56, 896/5420

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 973/56, 896/5420?

Answer: LCM of Numerators as per given numbers 973/56, 896/5420 is

LCM of Numerators i.e. for 973,896 is 124544

GCF of denominators i.e. for 56,5420 is 4.

Thus, LCM of Fractions is 31136.Finally, LCM of Fractions for 973/56, 896/5420 is 31136.