Least Common Multiple of 71/71, 576/28, 142/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/71, 576/28, 142/125 quickly i.e. 40896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/71, 576/28, 142/125 is 40896.

LCM(71/71, 576/28, 142/125) = 40896

LCM of 71/71, 576/28, 142/125

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 71/71,576/28,142/125

Given numbers are 71/71,576/28,142/125

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 71,576,142

Least Common Multiple of Numerators i.e. LCM of 71,576,142 is 40896.

GCF of Denominators means GCF of 71,28,125 as per the given fractions.

GCF of 71,28,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,576,142

LCM of Fractions 71/71,576/28,142/125 is 40896

2 71, 576, 142
71 71, 288, 71
1, 288, 1

∴ So the LCM of the given numbers is 2 x 71 x 1 x 288 x 1 = 40896

Least Common Multiple of 71,576,142 with GCF Formula

Least Common Multiple of 71,576,142 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 71,576,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,576,142) = 1

common factors(in case of two or more numbers have common factors) = 142

GCF(71,576,142) x common factors =1 x 142 = 142

LCM(71,576,142) = ( 71 × 576 × 142 ) / 142

LCM(71,576,142) = 5807232 / 142

LCM(71,576,142) = 40896


Lets's calculate GCF of 71,28,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40896/1

Therefore the LCM of Fractions 71/71,576/28,142/125 is 40896

Greatest Common Factor of 71,28,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,28,125 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 71,28,125 . The biggest common factor number is the GCF number.
So the greatest common factor 71,28,125 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 71/71, 576/28, 142/125

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 71/71, 576/28, 142/125?

Answer: LCM of Numerators as per given numbers 71/71, 576/28, 142/125 is

LCM of Numerators i.e. for 71,576,142 is 40896

GCF of denominators i.e. for 71,28,125 is 1.

Thus, LCM of Fractions is 40896.Finally, LCM of Fractions for 71/71, 576/28, 142/125 is 40896.