Least Common Multiple of 587/28, 728/5971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 587/28, 728/5971 quickly i.e. 61048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 587/28, 728/5971 is 61048.

LCM(587/28, 728/5971) = 61048

LCM of 587/28, 728/5971

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 587/28,728/5971

Given numbers are 587/28,728/5971

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 587,728

Least Common Multiple of Numerators i.e. LCM of 587,728 is 427336.

GCF of Denominators means GCF of 28,5971 as per the given fractions.

GCF of 28,5971 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 587,728

LCM of Fractions 587/28,728/5971 is 61048

Given numbers has no common factors except 1. So, there LCM is their product i.e 427336

Least Common Multiple of 587,728 with GCF Formula

Least Common Multiple of 587,728 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 587,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,728) = 1

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

GCF(587,728) x common factors =1 x 1 = 1

LCM(587,728) = ( 587 × 728 ) / 1

LCM(587,728) = 427336 / 1

LCM(587,728) = 427336


Lets's calculate GCF of 28,5971

7 28, 5971
4, 853

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 427336/7

Therefore the LCM of Fractions 587/28,728/5971 is 61048

Greatest Common Factor of 28,5971 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,5971 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 5971

List of positive integer factors of 5971 that divides 5971 without a remainder.

1,7,853,5971

Greatest Common Factor

We found the factors 28,5971 . The biggest common factor number is the GCF number.
So the greatest common factor 28,5971 is 7.


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 587/28, 728/5971

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 587/28, 728/5971?

Answer: LCM of Numerators as per given numbers 587/28, 728/5971 is

LCM of Numerators i.e. for 587,728 is 427336

GCF of denominators i.e. for 28,5971 is 7.

Thus, LCM of Fractions is 61048.Finally, LCM of Fractions for 587/28, 728/5971 is 61048.