Least Common Multiple of 2571/264, 7395/5066

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2571/264, 7395/5066 quickly i.e. 6337515/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2571/264, 7395/5066 is 6337515/2.

LCM(2571/264, 7395/5066) = 6337515/2

LCM of 2571/264, 7395/5066

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 2571/264,7395/5066

Given numbers are 2571/264,7395/5066

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 2571,7395

Least Common Multiple of Numerators i.e. LCM of 2571,7395 is 6337515.

GCF of Denominators means GCF of 264,5066 as per the given fractions.

GCF of 264,5066 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2571,7395

LCM of Fractions 2571/264,7395/5066 is 6337515/2

3 2571, 7395
857, 2465

∴ So the LCM of the given numbers is 3 x 857 x 2465 = 6337515

Least Common Multiple of 2571,7395 with GCF Formula

Least Common Multiple of 2571,7395 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 2571,7395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2571,7395) = 3

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

GCF(2571,7395) x common factors =3 x 1 = 3

LCM(2571,7395) = ( 2571 × 7395 ) / 3

LCM(2571,7395) = 19012545 / 3

LCM(2571,7395) = 6337515


Lets's calculate GCF of 264,5066

2 264, 5066
132, 2533

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6337515/2

Therefore the LCM of Fractions 2571/264,7395/5066 is 6337515/2

Greatest Common Factor of 264,5066 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,5066 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 5066

List of positive integer factors of 5066 that divides 5066 without a remainder.

1,2,17,34,149,298,2533,5066

Greatest Common Factor

We found the factors 264,5066 . The biggest common factor number is the GCF number.
So the greatest common factor 264,5066 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2571/264, 7395/5066

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 2571/264, 7395/5066?

Answer: LCM of Numerators as per given numbers 2571/264, 7395/5066 is

LCM of Numerators i.e. for 2571,7395 is 6337515

GCF of denominators i.e. for 264,5066 is 2.

Thus, LCM of Fractions is 6337515/2.Finally, LCM of Fractions for 2571/264, 7395/5066 is 6337515/2.