Least Common Multiple of 21/944, 5314/5310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/944, 5314/5310 quickly i.e. 111594/118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/944, 5314/5310 is 111594/118.

LCM(21/944, 5314/5310) = 111594/118

LCM of 21/944, 5314/5310

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 21/944,5314/5310

Given numbers are 21/944,5314/5310

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 21,5314

Least Common Multiple of Numerators i.e. LCM of 21,5314 is 111594.

GCF of Denominators means GCF of 944,5310 as per the given fractions.

GCF of 944,5310 is 118 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,5314

LCM of Fractions 21/944,5314/5310 is 111594/118

Given numbers has no common factors except 1. So, there LCM is their product i.e 111594

Least Common Multiple of 21,5314 with GCF Formula

Least Common Multiple of 21,5314 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 21,5314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,5314) = 1

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

GCF(21,5314) x common factors =1 x 1 = 1

LCM(21,5314) = ( 21 × 5314 ) / 1

LCM(21,5314) = 111594 / 1

LCM(21,5314) = 111594


Lets's calculate GCF of 944,5310

2 944, 5310
59 472, 2655
8, 45

∴ So the GCF of the given numbers is 2 x 59 = 118

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111594/118

Therefore the LCM of Fractions 21/944,5314/5310 is 111594/118

Greatest Common Factor of 944,5310 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,5310 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 5310

List of positive integer factors of 5310 that divides 5310 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,59,90,118,177,295,354,531,590,885,1062,1770,2655,5310

Greatest Common Factor

We found the factors 944,5310 . The biggest common factor number is the GCF number.
So the greatest common factor 944,5310 is 118.


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 21/944, 5314/5310

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 21/944, 5314/5310?

Answer: LCM of Numerators as per given numbers 21/944, 5314/5310 is

LCM of Numerators i.e. for 21,5314 is 111594

GCF of denominators i.e. for 944,5310 is 118.

Thus, LCM of Fractions is 111594/118.Finally, LCM of Fractions for 21/944, 5314/5310 is 111594/118.