Least Common Multiple of 58/387, 567/57, 587/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/387, 567/57, 587/612 quickly i.e. 6434694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/387, 567/57, 587/612 is 6434694.

LCM(58/387, 567/57, 587/612) = 6434694

LCM of 58/387, 567/57, 587/612

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 58/387,567/57,587/612

Given numbers are 58/387,567/57,587/612

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 58,567,587

Least Common Multiple of Numerators i.e. LCM of 58,567,587 is 19304082.

GCF of Denominators means GCF of 387,57,612 as per the given fractions.

GCF of 387,57,612 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,567,587

LCM of Fractions 58/387,567/57,587/612 is 6434694

Given numbers has no common factors except 1. So, there LCM is their product i.e 19304082

Least Common Multiple of 58,567,587 with GCF Formula

Least Common Multiple of 58,567,587 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 58,567,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,567,587) = 1

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

GCF(58,567,587) x common factors =1 x 1 = 1

LCM(58,567,587) = ( 58 × 567 × 587 ) / 1

LCM(58,567,587) = 19304082 / 1

LCM(58,567,587) = 19304082


Lets's calculate GCF of 387,57,612

3 387, 57, 612
129, 19, 204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19304082/3

Therefore the LCM of Fractions 58/387,567/57,587/612 is 6434694

Greatest Common Factor of 387,57,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,57,612 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 387,57,612 . The biggest common factor number is the GCF number.
So the greatest common factor 387,57,612 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 58/387, 567/57, 587/612

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 58/387, 567/57, 587/612?

Answer: LCM of Numerators as per given numbers 58/387, 567/57, 587/612 is

LCM of Numerators i.e. for 58,567,587 is 19304082

GCF of denominators i.e. for 387,57,612 is 3.

Thus, LCM of Fractions is 6434694.Finally, LCM of Fractions for 58/387, 567/57, 587/612 is 6434694.