Least Common Multiple of 4908/970, 5317/5996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4908/970, 5317/5996 quickly i.e. 31902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4908/970, 5317/5996 is 31902.

LCM(4908/970, 5317/5996) = 31902

LCM of 4908/970, 5317/5996

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 4908/970,5317/5996

Given numbers are 4908/970,5317/5996

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 4908,5317

Least Common Multiple of Numerators i.e. LCM of 4908,5317 is 63804.

GCF of Denominators means GCF of 970,5996 as per the given fractions.

GCF of 970,5996 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4908,5317

LCM of Fractions 4908/970,5317/5996 is 31902

409 4908, 5317
12, 13

∴ So the LCM of the given numbers is 409 x 12 x 13 = 63804

Least Common Multiple of 4908,5317 with GCF Formula

Least Common Multiple of 4908,5317 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 4908,5317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4908,5317) = 409

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

GCF(4908,5317) x common factors =409 x 1 = 409

LCM(4908,5317) = ( 4908 × 5317 ) / 409

LCM(4908,5317) = 26095836 / 409

LCM(4908,5317) = 63804


Lets's calculate GCF of 970,5996

2 970, 5996
485, 2998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63804/2

Therefore the LCM of Fractions 4908/970,5317/5996 is 31902

Greatest Common Factor of 970,5996 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,5996 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 5996

List of positive integer factors of 5996 that divides 5996 without a remainder.

1,2,4,1499,2998,5996

Greatest Common Factor

We found the factors 970,5996 . The biggest common factor number is the GCF number.
So the greatest common factor 970,5996 is 2.


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 4908/970, 5317/5996

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 4908/970, 5317/5996?

Answer: LCM of Numerators as per given numbers 4908/970, 5317/5996 is

LCM of Numerators i.e. for 4908,5317 is 63804

GCF of denominators i.e. for 970,5996 is 2.

Thus, LCM of Fractions is 31902.Finally, LCM of Fractions for 4908/970, 5317/5996 is 31902.