Least Common Multiple of 64/378, 5083/6540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/378, 5083/6540 quickly i.e. 325312/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/378, 5083/6540 is 325312/6.

LCM(64/378, 5083/6540) = 325312/6

LCM of 64/378, 5083/6540

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 64/378,5083/6540

Given numbers are 64/378,5083/6540

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 64,5083

Least Common Multiple of Numerators i.e. LCM of 64,5083 is 325312.

GCF of Denominators means GCF of 378,6540 as per the given fractions.

GCF of 378,6540 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,5083

LCM of Fractions 64/378,5083/6540 is 325312/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 325312

Least Common Multiple of 64,5083 with GCF Formula

Least Common Multiple of 64,5083 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 64,5083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,5083) = 1

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

GCF(64,5083) x common factors =1 x 1 = 1

LCM(64,5083) = ( 64 × 5083 ) / 1

LCM(64,5083) = 325312 / 1

LCM(64,5083) = 325312


Lets's calculate GCF of 378,6540

2 378, 6540
3 189, 3270
63, 1090

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325312/6

Therefore the LCM of Fractions 64/378,5083/6540 is 325312/6

Greatest Common Factor of 378,6540 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,6540 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 6540

List of positive integer factors of 6540 that divides 6540 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,109,218,327,436,545,654,1090,1308,1635,2180,3270,6540

Greatest Common Factor

We found the factors 378,6540 . The biggest common factor number is the GCF number.
So the greatest common factor 378,6540 is 6.


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 64/378, 5083/6540

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 64/378, 5083/6540?

Answer: LCM of Numerators as per given numbers 64/378, 5083/6540 is

LCM of Numerators i.e. for 64,5083 is 325312

GCF of denominators i.e. for 378,6540 is 6.

Thus, LCM of Fractions is 325312/6.Finally, LCM of Fractions for 64/378, 5083/6540 is 325312/6.