Least Common Multiple of 6375/657, 1476/8963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6375/657, 1476/8963 quickly i.e. 3136500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6375/657, 1476/8963 is 3136500.

LCM(6375/657, 1476/8963) = 3136500

LCM of 6375/657, 1476/8963

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 6375/657,1476/8963

Given numbers are 6375/657,1476/8963

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 6375,1476

Least Common Multiple of Numerators i.e. LCM of 6375,1476 is 3136500.

GCF of Denominators means GCF of 657,8963 as per the given fractions.

GCF of 657,8963 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6375,1476

LCM of Fractions 6375/657,1476/8963 is 3136500

3 6375, 1476
2125, 492

∴ So the LCM of the given numbers is 3 x 2125 x 492 = 3136500

Least Common Multiple of 6375,1476 with GCF Formula

Least Common Multiple of 6375,1476 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 6375,1476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6375,1476) = 3

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

GCF(6375,1476) x common factors =3 x 1 = 3

LCM(6375,1476) = ( 6375 × 1476 ) / 3

LCM(6375,1476) = 9409500 / 3

LCM(6375,1476) = 3136500


Lets's calculate GCF of 657,8963

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3136500/1

Therefore the LCM of Fractions 6375/657,1476/8963 is 3136500

Greatest Common Factor of 657,8963 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,8963 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 8963

List of positive integer factors of 8963 that divides 8963 without a remainder.

1,8963

Greatest Common Factor

We found the factors 657,8963 . The biggest common factor number is the GCF number.
So the greatest common factor 657,8963 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6375/657, 1476/8963

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 6375/657, 1476/8963?

Answer: LCM of Numerators as per given numbers 6375/657, 1476/8963 is

LCM of Numerators i.e. for 6375,1476 is 3136500

GCF of denominators i.e. for 657,8963 is 1.

Thus, LCM of Fractions is 3136500.Finally, LCM of Fractions for 6375/657, 1476/8963 is 3136500.