Least Common Multiple of 79/45, 57/99, 18/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/45, 57/99, 18/258 quickly i.e. 9006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/45, 57/99, 18/258 is 9006.

LCM(79/45, 57/99, 18/258) = 9006

LCM of 79/45, 57/99, 18/258

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 79/45,57/99,18/258

Given numbers are 79/45,57/99,18/258

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 79,57,18

Least Common Multiple of Numerators i.e. LCM of 79,57,18 is 27018.

GCF of Denominators means GCF of 45,99,258 as per the given fractions.

GCF of 45,99,258 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,57,18

LCM of Fractions 79/45,57/99,18/258 is 9006

3 79, 57, 18
79, 19, 6

∴ So the LCM of the given numbers is 3 x 79 x 19 x 6 = 27018

Least Common Multiple of 79,57,18 with GCF Formula

Least Common Multiple of 79,57,18 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 79,57,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,57,18) = 1

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

GCF(79,57,18) x common factors =1 x 3 = 3

LCM(79,57,18) = ( 79 × 57 × 18 ) / 3

LCM(79,57,18) = 81054 / 3

LCM(79,57,18) = 27018


Lets's calculate GCF of 45,99,258

3 45, 99, 258
15, 33, 86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27018/3

Therefore the LCM of Fractions 79/45,57/99,18/258 is 9006

Greatest Common Factor of 45,99,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,99,258 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 45,99,258 . The biggest common factor number is the GCF number.
So the greatest common factor 45,99,258 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 79/45, 57/99, 18/258

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 79/45, 57/99, 18/258?

Answer: LCM of Numerators as per given numbers 79/45, 57/99, 18/258 is

LCM of Numerators i.e. for 79,57,18 is 27018

GCF of denominators i.e. for 45,99,258 is 3.

Thus, LCM of Fractions is 9006.Finally, LCM of Fractions for 79/45, 57/99, 18/258 is 9006.