Least Common Multiple of 568/308, 422/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 568/308, 422/518 quickly i.e. 119848/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 568/308, 422/518 is 119848/14.

LCM(568/308, 422/518) = 119848/14

LCM of 568/308, 422/518

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 568/308,422/518

Given numbers are 568/308,422/518

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 568,422

Least Common Multiple of Numerators i.e. LCM of 568,422 is 119848.

GCF of Denominators means GCF of 308,518 as per the given fractions.

GCF of 308,518 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 568,422

LCM of Fractions 568/308,422/518 is 119848/14

2 568, 422
284, 211

∴ So the LCM of the given numbers is 2 x 284 x 211 = 119848

Least Common Multiple of 568,422 with GCF Formula

Least Common Multiple of 568,422 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 568,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,422) = 2

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

GCF(568,422) x common factors =2 x 1 = 2

LCM(568,422) = ( 568 × 422 ) / 2

LCM(568,422) = 239696 / 2

LCM(568,422) = 119848


Lets's calculate GCF of 308,518

2 308, 518
7 154, 259
22, 37

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119848/14

Therefore the LCM of Fractions 568/308,422/518 is 119848/14

Greatest Common Factor of 308,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,518 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 308,518 . The biggest common factor number is the GCF number.
So the greatest common factor 308,518 is 14.


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 568/308, 422/518

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 568/308, 422/518?

Answer: LCM of Numerators as per given numbers 568/308, 422/518 is

LCM of Numerators i.e. for 568,422 is 119848

GCF of denominators i.e. for 308,518 is 14.

Thus, LCM of Fractions is 119848/14.Finally, LCM of Fractions for 568/308, 422/518 is 119848/14.