Least Common Multiple of 57/345, 6364/8781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/345, 6364/8781 quickly i.e. 120916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/345, 6364/8781 is 120916.

LCM(57/345, 6364/8781) = 120916

LCM of 57/345, 6364/8781

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 57/345,6364/8781

Given numbers are 57/345,6364/8781

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 57,6364

Least Common Multiple of Numerators i.e. LCM of 57,6364 is 362748.

GCF of Denominators means GCF of 345,8781 as per the given fractions.

GCF of 345,8781 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,6364

LCM of Fractions 57/345,6364/8781 is 120916

Given numbers has no common factors except 1. So, there LCM is their product i.e 362748

Least Common Multiple of 57,6364 with GCF Formula

Least Common Multiple of 57,6364 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 57,6364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,6364) = 1

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

GCF(57,6364) x common factors =1 x 1 = 1

LCM(57,6364) = ( 57 × 6364 ) / 1

LCM(57,6364) = 362748 / 1

LCM(57,6364) = 362748


Lets's calculate GCF of 345,8781

3 345, 8781
115, 2927

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 362748/3

Therefore the LCM of Fractions 57/345,6364/8781 is 120916

Greatest Common Factor of 345,8781 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,8781 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 8781

List of positive integer factors of 8781 that divides 8781 without a remainder.

1,3,2927,8781

Greatest Common Factor

We found the factors 345,8781 . The biggest common factor number is the GCF number.
So the greatest common factor 345,8781 is 3.


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 57/345, 6364/8781

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 57/345, 6364/8781?

Answer: LCM of Numerators as per given numbers 57/345, 6364/8781 is

LCM of Numerators i.e. for 57,6364 is 362748

GCF of denominators i.e. for 345,8781 is 3.

Thus, LCM of Fractions is 120916.Finally, LCM of Fractions for 57/345, 6364/8781 is 120916.