Least Common Multiple of 89/20, 18/12, 71/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/20, 18/12, 71/180 quickly i.e. 113742/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/20, 18/12, 71/180 is 113742/4.

LCM(89/20, 18/12, 71/180) = 113742/4

LCM of 89/20, 18/12, 71/180

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 89/20,18/12,71/180

Given numbers are 89/20,18/12,71/180

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 89,18,71

Least Common Multiple of Numerators i.e. LCM of 89,18,71 is 113742.

GCF of Denominators means GCF of 20,12,180 as per the given fractions.

GCF of 20,12,180 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,18,71

LCM of Fractions 89/20,18/12,71/180 is 113742/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 113742

Least Common Multiple of 89,18,71 with GCF Formula

Least Common Multiple of 89,18,71 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 89,18,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,18,71) = 1

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

GCF(89,18,71) x common factors =1 x 1 = 1

LCM(89,18,71) = ( 89 × 18 × 71 ) / 1

LCM(89,18,71) = 113742 / 1

LCM(89,18,71) = 113742


Lets's calculate GCF of 20,12,180

2 20, 12, 180
2 10, 6, 90
5, 3, 45

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113742/4

Therefore the LCM of Fractions 89/20,18/12,71/180 is 113742/4

Greatest Common Factor of 20,12,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,12,180 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 20,12,180 . The biggest common factor number is the GCF number.
So the greatest common factor 20,12,180 is 4.


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 89/20, 18/12, 71/180

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 89/20, 18/12, 71/180?

Answer: LCM of Numerators as per given numbers 89/20, 18/12, 71/180 is

LCM of Numerators i.e. for 89,18,71 is 113742

GCF of denominators i.e. for 20,12,180 is 4.

Thus, LCM of Fractions is 113742/4.Finally, LCM of Fractions for 89/20, 18/12, 71/180 is 113742/4.