Least Common Multiple of 587/27, 381/70, 597/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 587/27, 381/70, 597/787 quickly i.e. 44505753 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 587/27, 381/70, 597/787 is 44505753.

LCM(587/27, 381/70, 597/787) = 44505753

LCM of 587/27, 381/70, 597/787

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 587/27,381/70,597/787

Given numbers are 587/27,381/70,597/787

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 587,381,597

Least Common Multiple of Numerators i.e. LCM of 587,381,597 is 44505753.

GCF of Denominators means GCF of 27,70,787 as per the given fractions.

GCF of 27,70,787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 587,381,597

LCM of Fractions 587/27,381/70,597/787 is 44505753

3 587, 381, 597
587, 127, 199

∴ So the LCM of the given numbers is 3 x 587 x 127 x 199 = 44505753

Least Common Multiple of 587,381,597 with GCF Formula

Least Common Multiple of 587,381,597 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 587,381,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,381,597) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(587,381,597) x common factors =1 x 3 = 3

LCM(587,381,597) = ( 587 × 381 × 597 ) / 3

LCM(587,381,597) = 133517259 / 3

LCM(587,381,597) = 44505753


Lets's calculate GCF of 27,70,787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44505753/1

Therefore the LCM of Fractions 587/27,381/70,597/787 is 44505753

Greatest Common Factor of 27,70,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,70,787 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 27,70,787 . The biggest common factor number is the GCF number.
So the greatest common factor 27,70,787 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 587/27, 381/70, 597/787

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 587/27, 381/70, 597/787?

Answer: LCM of Numerators as per given numbers 587/27, 381/70, 597/787 is

LCM of Numerators i.e. for 587,381,597 is 44505753

GCF of denominators i.e. for 27,70,787 is 1.

Thus, LCM of Fractions is 44505753.Finally, LCM of Fractions for 587/27, 381/70, 597/787 is 44505753.