Least Common Multiple of 239/494, 6517/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 239/494, 6517/638 quickly i.e. 1557563/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 239/494, 6517/638 is 1557563/2.

LCM(239/494, 6517/638) = 1557563/2

LCM of 239/494, 6517/638

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 239/494,6517/638

Given numbers are 239/494,6517/638

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 239,6517

Least Common Multiple of Numerators i.e. LCM of 239,6517 is 1557563.

GCF of Denominators means GCF of 494,638 as per the given fractions.

GCF of 494,638 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 239,6517

LCM of Fractions 239/494,6517/638 is 1557563/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1557563

Least Common Multiple of 239,6517 with GCF Formula

Least Common Multiple of 239,6517 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 239,6517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,6517) = 1

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

GCF(239,6517) x common factors =1 x 1 = 1

LCM(239,6517) = ( 239 × 6517 ) / 1

LCM(239,6517) = 1557563 / 1

LCM(239,6517) = 1557563


Lets's calculate GCF of 494,638

2 494, 638
247, 319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1557563/2

Therefore the LCM of Fractions 239/494,6517/638 is 1557563/2

Greatest Common Factor of 494,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,638 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 494,638 . The biggest common factor number is the GCF number.
So the greatest common factor 494,638 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 239/494, 6517/638

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 239/494, 6517/638?

Answer: LCM of Numerators as per given numbers 239/494, 6517/638 is

LCM of Numerators i.e. for 239,6517 is 1557563

GCF of denominators i.e. for 494,638 is 2.

Thus, LCM of Fractions is 1557563/2.Finally, LCM of Fractions for 239/494, 6517/638 is 1557563/2.