Least Common Multiple of 617/634, 577/268, 520/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 617/634, 577/268, 520/204 quickly i.e. 92562340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 617/634, 577/268, 520/204 is 92562340.

LCM(617/634, 577/268, 520/204) = 92562340

LCM of 617/634, 577/268, 520/204

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 617/634,577/268,520/204

Given numbers are 617/634,577/268,520/204

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 617,577,520

Least Common Multiple of Numerators i.e. LCM of 617,577,520 is 185124680.

GCF of Denominators means GCF of 634,268,204 as per the given fractions.

GCF of 634,268,204 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 617,577,520

LCM of Fractions 617/634,577/268,520/204 is 92562340

Given numbers has no common factors except 1. So, there LCM is their product i.e 185124680

Least Common Multiple of 617,577,520 with GCF Formula

Least Common Multiple of 617,577,520 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 617,577,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,577,520) = 1

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

GCF(617,577,520) x common factors =1 x 1 = 1

LCM(617,577,520) = ( 617 × 577 × 520 ) / 1

LCM(617,577,520) = 185124680 / 1

LCM(617,577,520) = 185124680


Lets's calculate GCF of 634,268,204

2 634, 268, 204
317, 134, 102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185124680/2

Therefore the LCM of Fractions 617/634,577/268,520/204 is 92562340

Greatest Common Factor of 634,268,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,268,204 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 634,268,204 . The biggest common factor number is the GCF number.
So the greatest common factor 634,268,204 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 617/634, 577/268, 520/204

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 617/634, 577/268, 520/204?

Answer: LCM of Numerators as per given numbers 617/634, 577/268, 520/204 is

LCM of Numerators i.e. for 617,577,520 is 185124680

GCF of denominators i.e. for 634,268,204 is 2.

Thus, LCM of Fractions is 92562340.Finally, LCM of Fractions for 617/634, 577/268, 520/204 is 92562340.