Least Common Multiple of 76/29, 863/62, 215/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/29, 863/62, 215/872 quickly i.e. 14101420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/29, 863/62, 215/872 is 14101420.

LCM(76/29, 863/62, 215/872) = 14101420

LCM of 76/29, 863/62, 215/872

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 76/29,863/62,215/872

Given numbers are 76/29,863/62,215/872

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 76,863,215

Least Common Multiple of Numerators i.e. LCM of 76,863,215 is 14101420.

GCF of Denominators means GCF of 29,62,872 as per the given fractions.

GCF of 29,62,872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,863,215

LCM of Fractions 76/29,863/62,215/872 is 14101420

Given numbers has no common factors except 1. So, there LCM is their product i.e 14101420

Least Common Multiple of 76,863,215 with GCF Formula

Least Common Multiple of 76,863,215 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 76,863,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,863,215) = 1

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

GCF(76,863,215) x common factors =1 x 1 = 1

LCM(76,863,215) = ( 76 × 863 × 215 ) / 1

LCM(76,863,215) = 14101420 / 1

LCM(76,863,215) = 14101420


Lets's calculate GCF of 29,62,872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14101420/1

Therefore the LCM of Fractions 76/29,863/62,215/872 is 14101420

Greatest Common Factor of 29,62,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,62,872 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 29,62,872 . The biggest common factor number is the GCF number.
So the greatest common factor 29,62,872 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 76/29, 863/62, 215/872

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 76/29, 863/62, 215/872?

Answer: LCM of Numerators as per given numbers 76/29, 863/62, 215/872 is

LCM of Numerators i.e. for 76,863,215 is 14101420

GCF of denominators i.e. for 29,62,872 is 1.

Thus, LCM of Fractions is 14101420.Finally, LCM of Fractions for 76/29, 863/62, 215/872 is 14101420.