Least Common Multiple of 795/93, 829/41, 309/80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 795/93, 829/41, 309/80 quickly i.e. 67882665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 795/93, 829/41, 309/80 is 67882665.

LCM(795/93, 829/41, 309/80) = 67882665

LCM of 795/93, 829/41, 309/80

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 795/93,829/41,309/80

Given numbers are 795/93,829/41,309/80

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 795,829,309

Least Common Multiple of Numerators i.e. LCM of 795,829,309 is 67882665.

GCF of Denominators means GCF of 93,41,80 as per the given fractions.

GCF of 93,41,80 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 795,829,309

LCM of Fractions 795/93,829/41,309/80 is 67882665

3 795, 829, 309
265, 829, 103

∴ So the LCM of the given numbers is 3 x 265 x 829 x 103 = 67882665

Least Common Multiple of 795,829,309 with GCF Formula

Least Common Multiple of 795,829,309 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 795,829,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,829,309) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(795,829,309) x common factors =1 x 3 = 3

LCM(795,829,309) = ( 795 × 829 × 309 ) / 3

LCM(795,829,309) = 203647995 / 3

LCM(795,829,309) = 67882665


Lets's calculate GCF of 93,41,80

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67882665/1

Therefore the LCM of Fractions 795/93,829/41,309/80 is 67882665

Greatest Common Factor of 93,41,80 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,41,80 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

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

Greatest Common Factor

We found the factors 93,41,80 . The biggest common factor number is the GCF number.
So the greatest common factor 93,41,80 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 795/93, 829/41, 309/80

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 795/93, 829/41, 309/80?

Answer: LCM of Numerators as per given numbers 795/93, 829/41, 309/80 is

LCM of Numerators i.e. for 795,829,309 is 67882665

GCF of denominators i.e. for 93,41,80 is 1.

Thus, LCM of Fractions is 67882665.Finally, LCM of Fractions for 795/93, 829/41, 309/80 is 67882665.