Least Common Multiple of 477/65, 759/7210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 477/65, 759/7210 quickly i.e. 120681/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 477/65, 759/7210 is 120681/5.

LCM(477/65, 759/7210) = 120681/5

LCM of 477/65, 759/7210

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 477/65,759/7210

Given numbers are 477/65,759/7210

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 477,759

Least Common Multiple of Numerators i.e. LCM of 477,759 is 120681.

GCF of Denominators means GCF of 65,7210 as per the given fractions.

GCF of 65,7210 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 477,759

LCM of Fractions 477/65,759/7210 is 120681/5

3 477, 759
159, 253

∴ So the LCM of the given numbers is 3 x 159 x 253 = 120681

Least Common Multiple of 477,759 with GCF Formula

Least Common Multiple of 477,759 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 477,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,759) = 3

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

GCF(477,759) x common factors =3 x 1 = 3

LCM(477,759) = ( 477 × 759 ) / 3

LCM(477,759) = 362043 / 3

LCM(477,759) = 120681


Lets's calculate GCF of 65,7210

5 65, 7210
13, 1442

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120681/5

Therefore the LCM of Fractions 477/65,759/7210 is 120681/5

Greatest Common Factor of 65,7210 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,7210 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 7210

List of positive integer factors of 7210 that divides 7210 without a remainder.

1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210

Greatest Common Factor

We found the factors 65,7210 . The biggest common factor number is the GCF number.
So the greatest common factor 65,7210 is 5.


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 477/65, 759/7210

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 477/65, 759/7210?

Answer: LCM of Numerators as per given numbers 477/65, 759/7210 is

LCM of Numerators i.e. for 477,759 is 120681

GCF of denominators i.e. for 65,7210 is 5.

Thus, LCM of Fractions is 120681/5.Finally, LCM of Fractions for 477/65, 759/7210 is 120681/5.