Least Common Multiple of 54/710, 12/387, 885/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 54/710, 12/387, 885/667 quickly i.e. 31860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/710, 12/387, 885/667 is 31860.

LCM(54/710, 12/387, 885/667) = 31860

LCM of 54/710, 12/387, 885/667

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 54/710,12/387,885/667

Given numbers are 54/710,12/387,885/667

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 54,12,885

Least Common Multiple of Numerators i.e. LCM of 54,12,885 is 31860.

GCF of Denominators means GCF of 710,387,667 as per the given fractions.

GCF of 710,387,667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,12,885

LCM of Fractions 54/710,12/387,885/667 is 31860

2 54, 12, 885
3 27, 6, 885
9, 2, 295

∴ So the LCM of the given numbers is 2 x 3 x 9 x 2 x 295 = 31860

Least Common Multiple of 54,12,885 with GCF Formula

Least Common Multiple of 54,12,885 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 54,12,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,12,885) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(54,12,885) x common factors =3 x 6 = 18

LCM(54,12,885) = ( 54 × 12 × 885 ) / 18

LCM(54,12,885) = 573480 / 18

LCM(54,12,885) = 31860


Lets's calculate GCF of 710,387,667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31860/1

Therefore the LCM of Fractions 54/710,12/387,885/667 is 31860

Greatest Common Factor of 710,387,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,387,667 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 387

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

1,3,9,43,129,387

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 710,387,667 . The biggest common factor number is the GCF number.
So the greatest common factor 710,387,667 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 54/710, 12/387, 885/667

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 54/710, 12/387, 885/667?

Answer: LCM of Numerators as per given numbers 54/710, 12/387, 885/667 is

LCM of Numerators i.e. for 54,12,885 is 31860

GCF of denominators i.e. for 710,387,667 is 1.

Thus, LCM of Fractions is 31860.Finally, LCM of Fractions for 54/710, 12/387, 885/667 is 31860.