Least Common Multiple of 8/14, 25/580, 71/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/14, 25/580, 71/541 quickly i.e. 14200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/14, 25/580, 71/541 is 14200.

LCM(8/14, 25/580, 71/541) = 14200

LCM of 8/14, 25/580, 71/541

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 8/14,25/580,71/541

Given numbers are 8/14,25/580,71/541

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 8,25,71

Least Common Multiple of Numerators i.e. LCM of 8,25,71 is 14200.

GCF of Denominators means GCF of 14,580,541 as per the given fractions.

GCF of 14,580,541 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,25,71

LCM of Fractions 8/14,25/580,71/541 is 14200

Given numbers has no common factors except 1. So, there LCM is their product i.e 14200

Least Common Multiple of 8,25,71 with GCF Formula

Least Common Multiple of 8,25,71 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 8,25,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,25,71) = 1

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

GCF(8,25,71) x common factors =1 x 1 = 1

LCM(8,25,71) = ( 8 × 25 × 71 ) / 1

LCM(8,25,71) = 14200 / 1

LCM(8,25,71) = 14200


Lets's calculate GCF of 14,580,541

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14200/1

Therefore the LCM of Fractions 8/14,25/580,71/541 is 14200

Greatest Common Factor of 14,580,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,580,541 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Greatest Common Factor

We found the factors 14,580,541 . The biggest common factor number is the GCF number.
So the greatest common factor 14,580,541 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 8/14, 25/580, 71/541

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 8/14, 25/580, 71/541?

Answer: LCM of Numerators as per given numbers 8/14, 25/580, 71/541 is

LCM of Numerators i.e. for 8,25,71 is 14200

GCF of denominators i.e. for 14,580,541 is 1.

Thus, LCM of Fractions is 14200.Finally, LCM of Fractions for 8/14, 25/580, 71/541 is 14200.