Least Common Multiple of 504/413, 8272/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/413, 8272/656 quickly i.e. 521136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/413, 8272/656 is 521136.

LCM(504/413, 8272/656) = 521136

LCM of 504/413, 8272/656

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 504/413,8272/656

Given numbers are 504/413,8272/656

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 504,8272

Least Common Multiple of Numerators i.e. LCM of 504,8272 is 521136.

GCF of Denominators means GCF of 413,656 as per the given fractions.

GCF of 413,656 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,8272

LCM of Fractions 504/413,8272/656 is 521136

2 504, 8272
2 252, 4136
2 126, 2068
63, 1034

∴ So the LCM of the given numbers is 2 x 2 x 2 x 63 x 1034 = 521136

Least Common Multiple of 504,8272 with GCF Formula

Least Common Multiple of 504,8272 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 504,8272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,8272) = 8

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

GCF(504,8272) x common factors =8 x 1 = 8

LCM(504,8272) = ( 504 × 8272 ) / 8

LCM(504,8272) = 4169088 / 8

LCM(504,8272) = 521136


Lets's calculate GCF of 413,656

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 521136/1

Therefore the LCM of Fractions 504/413,8272/656 is 521136

Greatest Common Factor of 413,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,656 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 413,656 . The biggest common factor number is the GCF number.
So the greatest common factor 413,656 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 504/413, 8272/656

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 504/413, 8272/656?

Answer: LCM of Numerators as per given numbers 504/413, 8272/656 is

LCM of Numerators i.e. for 504,8272 is 521136

GCF of denominators i.e. for 413,656 is 1.

Thus, LCM of Fractions is 521136.Finally, LCM of Fractions for 504/413, 8272/656 is 521136.