Least Common Multiple of 939/87, 180/92, 558/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 939/87, 180/92, 558/643 quickly i.e. 1746540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 939/87, 180/92, 558/643 is 1746540.

LCM(939/87, 180/92, 558/643) = 1746540

LCM of 939/87, 180/92, 558/643

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 939/87,180/92,558/643

Given numbers are 939/87,180/92,558/643

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 939,180,558

Least Common Multiple of Numerators i.e. LCM of 939,180,558 is 1746540.

GCF of Denominators means GCF of 87,92,643 as per the given fractions.

GCF of 87,92,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 939,180,558

LCM of Fractions 939/87,180/92,558/643 is 1746540

2 939, 180, 558
3 939, 90, 279
3 313, 30, 93
313, 10, 31

∴ So the LCM of the given numbers is 2 x 3 x 3 x 313 x 10 x 31 = 1746540

Least Common Multiple of 939,180,558 with GCF Formula

Least Common Multiple of 939,180,558 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 939,180,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,180,558) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(939,180,558) x common factors =3 x 18 = 54

LCM(939,180,558) = ( 939 × 180 × 558 ) / 54

LCM(939,180,558) = 94313160 / 54

LCM(939,180,558) = 1746540


Lets's calculate GCF of 87,92,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1746540/1

Therefore the LCM of Fractions 939/87,180/92,558/643 is 1746540

Greatest Common Factor of 87,92,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,92,643 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 87,92,643 . The biggest common factor number is the GCF number.
So the greatest common factor 87,92,643 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 939/87, 180/92, 558/643

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 939/87, 180/92, 558/643?

Answer: LCM of Numerators as per given numbers 939/87, 180/92, 558/643 is

LCM of Numerators i.e. for 939,180,558 is 1746540

GCF of denominators i.e. for 87,92,643 is 1.

Thus, LCM of Fractions is 1746540.Finally, LCM of Fractions for 939/87, 180/92, 558/643 is 1746540.