Least Common Multiple of 31/679, 64/266, 504/529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/679, 64/266, 504/529 quickly i.e. 124992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/679, 64/266, 504/529 is 124992.

LCM(31/679, 64/266, 504/529) = 124992

LCM of 31/679, 64/266, 504/529

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 31/679,64/266,504/529

Given numbers are 31/679,64/266,504/529

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 31,64,504

Least Common Multiple of Numerators i.e. LCM of 31,64,504 is 124992.

GCF of Denominators means GCF of 679,266,529 as per the given fractions.

GCF of 679,266,529 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,64,504

LCM of Fractions 31/679,64/266,504/529 is 124992

2 31, 64, 504
2 31, 32, 252
2 31, 16, 126
31, 8, 63

∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 8 x 63 = 124992

Least Common Multiple of 31,64,504 with GCF Formula

Least Common Multiple of 31,64,504 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 31,64,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,64,504) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(31,64,504) x common factors =1 x 8 = 8

LCM(31,64,504) = ( 31 × 64 × 504 ) / 8

LCM(31,64,504) = 999936 / 8

LCM(31,64,504) = 124992


Lets's calculate GCF of 679,266,529

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124992/1

Therefore the LCM of Fractions 31/679,64/266,504/529 is 124992

Greatest Common Factor of 679,266,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,266,529 By Matching Biggest Common Factor Method

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 679,266,529 . The biggest common factor number is the GCF number.
So the greatest common factor 679,266,529 is 1.


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 31/679, 64/266, 504/529

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 31/679, 64/266, 504/529?

Answer: LCM of Numerators as per given numbers 31/679, 64/266, 504/529 is

LCM of Numerators i.e. for 31,64,504 is 124992

GCF of denominators i.e. for 679,266,529 is 1.

Thus, LCM of Fractions is 124992.Finally, LCM of Fractions for 31/679, 64/266, 504/529 is 124992.