Least Common Multiple of 613/555, 365/573, 504/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 613/555, 365/573, 504/564 quickly i.e. 37589160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 613/555, 365/573, 504/564 is 37589160.

LCM(613/555, 365/573, 504/564) = 37589160

LCM of 613/555, 365/573, 504/564

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 613/555,365/573,504/564

Given numbers are 613/555,365/573,504/564

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 613,365,504

Least Common Multiple of Numerators i.e. LCM of 613,365,504 is 112767480.

GCF of Denominators means GCF of 555,573,564 as per the given fractions.

GCF of 555,573,564 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 613,365,504

LCM of Fractions 613/555,365/573,504/564 is 37589160

Given numbers has no common factors except 1. So, there LCM is their product i.e 112767480

Least Common Multiple of 613,365,504 with GCF Formula

Least Common Multiple of 613,365,504 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 613,365,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,365,504) = 1

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

GCF(613,365,504) x common factors =1 x 1 = 1

LCM(613,365,504) = ( 613 × 365 × 504 ) / 1

LCM(613,365,504) = 112767480 / 1

LCM(613,365,504) = 112767480


Lets's calculate GCF of 555,573,564

3 555, 573, 564
185, 191, 188

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112767480/3

Therefore the LCM of Fractions 613/555,365/573,504/564 is 37589160

Greatest Common Factor of 555,573,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,573,564 By Matching Biggest Common Factor Method

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 555,573,564 . The biggest common factor number is the GCF number.
So the greatest common factor 555,573,564 is 3.


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 613/555, 365/573, 504/564

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 613/555, 365/573, 504/564?

Answer: LCM of Numerators as per given numbers 613/555, 365/573, 504/564 is

LCM of Numerators i.e. for 613,365,504 is 112767480

GCF of denominators i.e. for 555,573,564 is 3.

Thus, LCM of Fractions is 37589160.Finally, LCM of Fractions for 613/555, 365/573, 504/564 is 37589160.