Least Common Multiple of 504/735, 484/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/735, 484/413 quickly i.e. 8712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/735, 484/413 is 8712.

LCM(504/735, 484/413) = 8712

LCM of 504/735, 484/413

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 504/735,484/413

Given numbers are 504/735,484/413

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 504,484

Least Common Multiple of Numerators i.e. LCM of 504,484 is 60984.

GCF of Denominators means GCF of 735,413 as per the given fractions.

GCF of 735,413 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,484

LCM of Fractions 504/735,484/413 is 8712

2 504, 484
2 252, 242
126, 121

∴ So the LCM of the given numbers is 2 x 2 x 126 x 121 = 60984

Least Common Multiple of 504,484 with GCF Formula

Least Common Multiple of 504,484 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 504,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,484) = 4

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

GCF(504,484) x common factors =4 x 1 = 4

LCM(504,484) = ( 504 × 484 ) / 4

LCM(504,484) = 243936 / 4

LCM(504,484) = 60984


Lets's calculate GCF of 735,413

7 735, 413
105, 59

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60984/7

Therefore the LCM of Fractions 504/735,484/413 is 8712

Greatest Common Factor of 735,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,413 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 413

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

1,7,59,413

Greatest Common Factor

We found the factors 735,413 . The biggest common factor number is the GCF number.
So the greatest common factor 735,413 is 7.


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 504/735, 484/413

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 504/735, 484/413?

Answer: LCM of Numerators as per given numbers 504/735, 484/413 is

LCM of Numerators i.e. for 504,484 is 60984

GCF of denominators i.e. for 735,413 is 7.

Thus, LCM of Fractions is 8712.Finally, LCM of Fractions for 504/735, 484/413 is 8712.