Least Common Multiple of 502/74, 638/2316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 502/74, 638/2316 quickly i.e. 80069 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 502/74, 638/2316 is 80069.

LCM(502/74, 638/2316) = 80069

LCM of 502/74, 638/2316

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 502/74,638/2316

Given numbers are 502/74,638/2316

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 502,638

Least Common Multiple of Numerators i.e. LCM of 502,638 is 160138.

GCF of Denominators means GCF of 74,2316 as per the given fractions.

GCF of 74,2316 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 502,638

LCM of Fractions 502/74,638/2316 is 80069

2 502, 638
251, 319

∴ So the LCM of the given numbers is 2 x 251 x 319 = 160138

Least Common Multiple of 502,638 with GCF Formula

Least Common Multiple of 502,638 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 502,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,638) = 2

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

GCF(502,638) x common factors =2 x 1 = 2

LCM(502,638) = ( 502 × 638 ) / 2

LCM(502,638) = 320276 / 2

LCM(502,638) = 160138


Lets's calculate GCF of 74,2316

2 74, 2316
37, 1158

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160138/2

Therefore the LCM of Fractions 502/74,638/2316 is 80069

Greatest Common Factor of 74,2316 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,2316 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 2316

List of positive integer factors of 2316 that divides 2316 without a remainder.

1,2,3,4,6,12,193,386,579,772,1158,2316

Greatest Common Factor

We found the factors 74,2316 . The biggest common factor number is the GCF number.
So the greatest common factor 74,2316 is 2.


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 502/74, 638/2316

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 502/74, 638/2316?

Answer: LCM of Numerators as per given numbers 502/74, 638/2316 is

LCM of Numerators i.e. for 502,638 is 160138

GCF of denominators i.e. for 74,2316 is 2.

Thus, LCM of Fractions is 80069.Finally, LCM of Fractions for 502/74, 638/2316 is 80069.