Least Common Multiple of 412/78, 566/43, 113/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/78, 566/43, 113/182 quickly i.e. 13175348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/78, 566/43, 113/182 is 13175348.

LCM(412/78, 566/43, 113/182) = 13175348

LCM of 412/78, 566/43, 113/182

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 412/78,566/43,113/182

Given numbers are 412/78,566/43,113/182

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 412,566,113

Least Common Multiple of Numerators i.e. LCM of 412,566,113 is 13175348.

GCF of Denominators means GCF of 78,43,182 as per the given fractions.

GCF of 78,43,182 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,566,113

LCM of Fractions 412/78,566/43,113/182 is 13175348

2 412, 566, 113
206, 283, 113

∴ So the LCM of the given numbers is 2 x 206 x 283 x 113 = 13175348

Least Common Multiple of 412,566,113 with GCF Formula

Least Common Multiple of 412,566,113 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 412,566,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,566,113) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(412,566,113) x common factors =1 x 2 = 2

LCM(412,566,113) = ( 412 × 566 × 113 ) / 2

LCM(412,566,113) = 26350696 / 2

LCM(412,566,113) = 13175348


Lets's calculate GCF of 78,43,182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13175348/1

Therefore the LCM of Fractions 412/78,566/43,113/182 is 13175348

Greatest Common Factor of 78,43,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,43,182 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 78,43,182 . The biggest common factor number is the GCF number.
So the greatest common factor 78,43,182 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 412/78, 566/43, 113/182

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 412/78, 566/43, 113/182?

Answer: LCM of Numerators as per given numbers 412/78, 566/43, 113/182 is

LCM of Numerators i.e. for 412,566,113 is 13175348

GCF of denominators i.e. for 78,43,182 is 1.

Thus, LCM of Fractions is 13175348.Finally, LCM of Fractions for 412/78, 566/43, 113/182 is 13175348.