Least Common Multiple of 508/109, 702/538, 308/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 508/109, 702/538, 308/605 quickly i.e. 13729716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 508/109, 702/538, 308/605 is 13729716.

LCM(508/109, 702/538, 308/605) = 13729716

LCM of 508/109, 702/538, 308/605

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 508/109,702/538,308/605

Given numbers are 508/109,702/538,308/605

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 508,702,308

Least Common Multiple of Numerators i.e. LCM of 508,702,308 is 13729716.

GCF of Denominators means GCF of 109,538,605 as per the given fractions.

GCF of 109,538,605 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 508,702,308

LCM of Fractions 508/109,702/538,308/605 is 13729716

2 508, 702, 308
2 254, 351, 154
127, 351, 77

∴ So the LCM of the given numbers is 2 x 2 x 127 x 351 x 77 = 13729716

Least Common Multiple of 508,702,308 with GCF Formula

Least Common Multiple of 508,702,308 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 508,702,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,702,308) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(508,702,308) x common factors =2 x 4 = 8

LCM(508,702,308) = ( 508 × 702 × 308 ) / 8

LCM(508,702,308) = 109837728 / 8

LCM(508,702,308) = 13729716


Lets's calculate GCF of 109,538,605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13729716/1

Therefore the LCM of Fractions 508/109,702/538,308/605 is 13729716

Greatest Common Factor of 109,538,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,538,605 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 109,538,605 . The biggest common factor number is the GCF number.
So the greatest common factor 109,538,605 is 1.


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 508/109, 702/538, 308/605

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 508/109, 702/538, 308/605?

Answer: LCM of Numerators as per given numbers 508/109, 702/538, 308/605 is

LCM of Numerators i.e. for 508,702,308 is 13729716

GCF of denominators i.e. for 109,538,605 is 1.

Thus, LCM of Fractions is 13729716.Finally, LCM of Fractions for 508/109, 702/538, 308/605 is 13729716.