Least Common Multiple of 5757/21, 8876/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5757/21, 8876/492 quickly i.e. 17033044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5757/21, 8876/492 is 17033044.

LCM(5757/21, 8876/492) = 17033044

LCM of 5757/21, 8876/492

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 5757/21,8876/492

Given numbers are 5757/21,8876/492

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 5757,8876

Least Common Multiple of Numerators i.e. LCM of 5757,8876 is 51099132.

GCF of Denominators means GCF of 21,492 as per the given fractions.

GCF of 21,492 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5757,8876

LCM of Fractions 5757/21,8876/492 is 17033044

Given numbers has no common factors except 1. So, there LCM is their product i.e 51099132

Least Common Multiple of 5757,8876 with GCF Formula

Least Common Multiple of 5757,8876 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 5757,8876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5757,8876) = 1

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

GCF(5757,8876) x common factors =1 x 1 = 1

LCM(5757,8876) = ( 5757 × 8876 ) / 1

LCM(5757,8876) = 51099132 / 1

LCM(5757,8876) = 51099132


Lets's calculate GCF of 21,492

3 21, 492
7, 164

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51099132/3

Therefore the LCM of Fractions 5757/21,8876/492 is 17033044

Greatest Common Factor of 21,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,492 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 21,492 . The biggest common factor number is the GCF number.
So the greatest common factor 21,492 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 5757/21, 8876/492

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 5757/21, 8876/492?

Answer: LCM of Numerators as per given numbers 5757/21, 8876/492 is

LCM of Numerators i.e. for 5757,8876 is 51099132

GCF of denominators i.e. for 21,492 is 3.

Thus, LCM of Fractions is 17033044.Finally, LCM of Fractions for 5757/21, 8876/492 is 17033044.