Least Common Multiple of 23/71, 61/13, 57/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/71, 61/13, 57/143 quickly i.e. 79971 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/71, 61/13, 57/143 is 79971.

LCM(23/71, 61/13, 57/143) = 79971

LCM of 23/71, 61/13, 57/143

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 23/71,61/13,57/143

Given numbers are 23/71,61/13,57/143

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 23,61,57

Least Common Multiple of Numerators i.e. LCM of 23,61,57 is 79971.

GCF of Denominators means GCF of 71,13,143 as per the given fractions.

GCF of 71,13,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,61,57

LCM of Fractions 23/71,61/13,57/143 is 79971

Given numbers has no common factors except 1. So, there LCM is their product i.e 79971

Least Common Multiple of 23,61,57 with GCF Formula

Least Common Multiple of 23,61,57 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 23,61,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,61,57) = 1

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

GCF(23,61,57) x common factors =1 x 1 = 1

LCM(23,61,57) = ( 23 × 61 × 57 ) / 1

LCM(23,61,57) = 79971 / 1

LCM(23,61,57) = 79971


Lets's calculate GCF of 71,13,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79971/1

Therefore the LCM of Fractions 23/71,61/13,57/143 is 79971

Greatest Common Factor of 71,13,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,13,143 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 71,13,143 . The biggest common factor number is the GCF number.
So the greatest common factor 71,13,143 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 23/71, 61/13, 57/143

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 23/71, 61/13, 57/143?

Answer: LCM of Numerators as per given numbers 23/71, 61/13, 57/143 is

LCM of Numerators i.e. for 23,61,57 is 79971

GCF of denominators i.e. for 71,13,143 is 1.

Thus, LCM of Fractions is 79971.Finally, LCM of Fractions for 23/71, 61/13, 57/143 is 79971.