Least Common Multiple of 323/80, 259/28, 134/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 323/80, 259/28, 134/715 quickly i.e. 11210038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 323/80, 259/28, 134/715 is 11210038.

LCM(323/80, 259/28, 134/715) = 11210038

LCM of 323/80, 259/28, 134/715

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 323/80,259/28,134/715

Given numbers are 323/80,259/28,134/715

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 323,259,134

Least Common Multiple of Numerators i.e. LCM of 323,259,134 is 11210038.

GCF of Denominators means GCF of 80,28,715 as per the given fractions.

GCF of 80,28,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 323,259,134

LCM of Fractions 323/80,259/28,134/715 is 11210038

Given numbers has no common factors except 1. So, there LCM is their product i.e 11210038

Least Common Multiple of 323,259,134 with GCF Formula

Least Common Multiple of 323,259,134 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 323,259,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,259,134) = 1

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

GCF(323,259,134) x common factors =1 x 1 = 1

LCM(323,259,134) = ( 323 × 259 × 134 ) / 1

LCM(323,259,134) = 11210038 / 1

LCM(323,259,134) = 11210038


Lets's calculate GCF of 80,28,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11210038/1

Therefore the LCM of Fractions 323/80,259/28,134/715 is 11210038

Greatest Common Factor of 80,28,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,28,715 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 28

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

1,2,4,7,14,28

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 80,28,715 . The biggest common factor number is the GCF number.
So the greatest common factor 80,28,715 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 323/80, 259/28, 134/715

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 323/80, 259/28, 134/715?

Answer: LCM of Numerators as per given numbers 323/80, 259/28, 134/715 is

LCM of Numerators i.e. for 323,259,134 is 11210038

GCF of denominators i.e. for 80,28,715 is 1.

Thus, LCM of Fractions is 11210038.Finally, LCM of Fractions for 323/80, 259/28, 134/715 is 11210038.