Least Common Multiple of 57/585, 7504/7111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/585, 7504/7111 quickly i.e. 427728/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/585, 7504/7111 is 427728/13.

LCM(57/585, 7504/7111) = 427728/13

LCM of 57/585, 7504/7111

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 57/585,7504/7111

Given numbers are 57/585,7504/7111

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 57,7504

Least Common Multiple of Numerators i.e. LCM of 57,7504 is 427728.

GCF of Denominators means GCF of 585,7111 as per the given fractions.

GCF of 585,7111 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,7504

LCM of Fractions 57/585,7504/7111 is 427728/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 427728

Least Common Multiple of 57,7504 with GCF Formula

Least Common Multiple of 57,7504 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 57,7504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,7504) = 1

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

GCF(57,7504) x common factors =1 x 1 = 1

LCM(57,7504) = ( 57 × 7504 ) / 1

LCM(57,7504) = 427728 / 1

LCM(57,7504) = 427728


Lets's calculate GCF of 585,7111

13 585, 7111
45, 547

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 427728/13

Therefore the LCM of Fractions 57/585,7504/7111 is 427728/13

Greatest Common Factor of 585,7111 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,7111 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 7111

List of positive integer factors of 7111 that divides 7111 without a remainder.

1,13,547,7111

Greatest Common Factor

We found the factors 585,7111 . The biggest common factor number is the GCF number.
So the greatest common factor 585,7111 is 13.


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 57/585, 7504/7111

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 57/585, 7504/7111?

Answer: LCM of Numerators as per given numbers 57/585, 7504/7111 is

LCM of Numerators i.e. for 57,7504 is 427728

GCF of denominators i.e. for 585,7111 is 13.

Thus, LCM of Fractions is 427728/13.Finally, LCM of Fractions for 57/585, 7504/7111 is 427728/13.