Least Common Multiple of 159/89, 289/2143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 159/89, 289/2143 quickly i.e. 45951 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 159/89, 289/2143 is 45951.

LCM(159/89, 289/2143) = 45951

LCM of 159/89, 289/2143

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 159/89,289/2143

Given numbers are 159/89,289/2143

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 159,289

Least Common Multiple of Numerators i.e. LCM of 159,289 is 45951.

GCF of Denominators means GCF of 89,2143 as per the given fractions.

GCF of 89,2143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 159,289

LCM of Fractions 159/89,289/2143 is 45951

Given numbers has no common factors except 1. So, there LCM is their product i.e 45951

Least Common Multiple of 159,289 with GCF Formula

Least Common Multiple of 159,289 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 159,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,289) = 1

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

GCF(159,289) x common factors =1 x 1 = 1

LCM(159,289) = ( 159 × 289 ) / 1

LCM(159,289) = 45951 / 1

LCM(159,289) = 45951


Lets's calculate GCF of 89,2143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45951/1

Therefore the LCM of Fractions 159/89,289/2143 is 45951

Greatest Common Factor of 89,2143 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,2143 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 2143

List of positive integer factors of 2143 that divides 2143 without a remainder.

1,2143

Greatest Common Factor

We found the factors 89,2143 . The biggest common factor number is the GCF number.
So the greatest common factor 89,2143 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 159/89, 289/2143

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 159/89, 289/2143?

Answer: LCM of Numerators as per given numbers 159/89, 289/2143 is

LCM of Numerators i.e. for 159,289 is 45951

GCF of denominators i.e. for 89,2143 is 1.

Thus, LCM of Fractions is 45951.Finally, LCM of Fractions for 159/89, 289/2143 is 45951.