Least Common Multiple of 679/293, 166/987, 180/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 679/293, 166/987, 180/904 quickly i.e. 10144260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/293, 166/987, 180/904 is 10144260.

LCM(679/293, 166/987, 180/904) = 10144260

LCM of 679/293, 166/987, 180/904

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 679/293,166/987,180/904

Given numbers are 679/293,166/987,180/904

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 679,166,180

Least Common Multiple of Numerators i.e. LCM of 679,166,180 is 10144260.

GCF of Denominators means GCF of 293,987,904 as per the given fractions.

GCF of 293,987,904 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,166,180

LCM of Fractions 679/293,166/987,180/904 is 10144260

2 679, 166, 180
679, 83, 90

∴ So the LCM of the given numbers is 2 x 679 x 83 x 90 = 10144260

Least Common Multiple of 679,166,180 with GCF Formula

Least Common Multiple of 679,166,180 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 679,166,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,166,180) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(679,166,180) x common factors =1 x 2 = 2

LCM(679,166,180) = ( 679 × 166 × 180 ) / 2

LCM(679,166,180) = 20288520 / 2

LCM(679,166,180) = 10144260


Lets's calculate GCF of 293,987,904

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10144260/1

Therefore the LCM of Fractions 679/293,166/987,180/904 is 10144260

Greatest Common Factor of 293,987,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,987,904 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 293,987,904 . The biggest common factor number is the GCF number.
So the greatest common factor 293,987,904 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 679/293, 166/987, 180/904

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 679/293, 166/987, 180/904?

Answer: LCM of Numerators as per given numbers 679/293, 166/987, 180/904 is

LCM of Numerators i.e. for 679,166,180 is 10144260

GCF of denominators i.e. for 293,987,904 is 1.

Thus, LCM of Fractions is 10144260.Finally, LCM of Fractions for 679/293, 166/987, 180/904 is 10144260.