Least Common Multiple of 91/80, 302/89, 838/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/80, 302/89, 838/367 quickly i.e. 11514958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/80, 302/89, 838/367 is 11514958.

LCM(91/80, 302/89, 838/367) = 11514958

LCM of 91/80, 302/89, 838/367

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 91/80,302/89,838/367

Given numbers are 91/80,302/89,838/367

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 91,302,838

Least Common Multiple of Numerators i.e. LCM of 91,302,838 is 11514958.

GCF of Denominators means GCF of 80,89,367 as per the given fractions.

GCF of 80,89,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,302,838

LCM of Fractions 91/80,302/89,838/367 is 11514958

2 91, 302, 838
91, 151, 419

∴ So the LCM of the given numbers is 2 x 91 x 151 x 419 = 11514958

Least Common Multiple of 91,302,838 with GCF Formula

Least Common Multiple of 91,302,838 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 91,302,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,302,838) = 1

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

GCF(91,302,838) x common factors =1 x 2 = 2

LCM(91,302,838) = ( 91 × 302 × 838 ) / 2

LCM(91,302,838) = 23029916 / 2

LCM(91,302,838) = 11514958


Lets's calculate GCF of 80,89,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11514958/1

Therefore the LCM of Fractions 91/80,302/89,838/367 is 11514958

Greatest Common Factor of 80,89,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,89,367 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 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 80,89,367 . The biggest common factor number is the GCF number.
So the greatest common factor 80,89,367 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 91/80, 302/89, 838/367

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 91/80, 302/89, 838/367?

Answer: LCM of Numerators as per given numbers 91/80, 302/89, 838/367 is

LCM of Numerators i.e. for 91,302,838 is 11514958

GCF of denominators i.e. for 80,89,367 is 1.

Thus, LCM of Fractions is 11514958.Finally, LCM of Fractions for 91/80, 302/89, 838/367 is 11514958.