Least Common Multiple of 502/504, 634/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 502/504, 634/787 quickly i.e. 159134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 502/504, 634/787 is 159134.

LCM(502/504, 634/787) = 159134

LCM of 502/504, 634/787

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 502/504,634/787

Given numbers are 502/504,634/787

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 502,634

Least Common Multiple of Numerators i.e. LCM of 502,634 is 159134.

GCF of Denominators means GCF of 504,787 as per the given fractions.

GCF of 504,787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 502,634

LCM of Fractions 502/504,634/787 is 159134

2 502, 634
251, 317

∴ So the LCM of the given numbers is 2 x 251 x 317 = 159134

Least Common Multiple of 502,634 with GCF Formula

Least Common Multiple of 502,634 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 502,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,634) = 2

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

GCF(502,634) x common factors =2 x 1 = 2

LCM(502,634) = ( 502 × 634 ) / 2

LCM(502,634) = 318268 / 2

LCM(502,634) = 159134


Lets's calculate GCF of 504,787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159134/1

Therefore the LCM of Fractions 502/504,634/787 is 159134

Greatest Common Factor of 504,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,787 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 504,787 . The biggest common factor number is the GCF number.
So the greatest common factor 504,787 is 1.


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 502/504, 634/787

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 502/504, 634/787?

Answer: LCM of Numerators as per given numbers 502/504, 634/787 is

LCM of Numerators i.e. for 502,634 is 159134

GCF of denominators i.e. for 504,787 is 1.

Thus, LCM of Fractions is 159134.Finally, LCM of Fractions for 502/504, 634/787 is 159134.