Least Common Multiple of 91/199, 83/117, 492/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/199, 83/117, 492/591 quickly i.e. 3716076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/199, 83/117, 492/591 is 3716076.

LCM(91/199, 83/117, 492/591) = 3716076

LCM of 91/199, 83/117, 492/591

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 91/199,83/117,492/591

Given numbers are 91/199,83/117,492/591

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 91,83,492

Least Common Multiple of Numerators i.e. LCM of 91,83,492 is 3716076.

GCF of Denominators means GCF of 199,117,591 as per the given fractions.

GCF of 199,117,591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,83,492

LCM of Fractions 91/199,83/117,492/591 is 3716076

Given numbers has no common factors except 1. So, there LCM is their product i.e 3716076

Least Common Multiple of 91,83,492 with GCF Formula

Least Common Multiple of 91,83,492 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 91,83,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,83,492) = 1

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

GCF(91,83,492) x common factors =1 x 1 = 1

LCM(91,83,492) = ( 91 × 83 × 492 ) / 1

LCM(91,83,492) = 3716076 / 1

LCM(91,83,492) = 3716076


Lets's calculate GCF of 199,117,591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3716076/1

Therefore the LCM of Fractions 91/199,83/117,492/591 is 3716076

Greatest Common Factor of 199,117,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,117,591 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 199,117,591 . The biggest common factor number is the GCF number.
So the greatest common factor 199,117,591 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 91/199, 83/117, 492/591

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 91/199, 83/117, 492/591?

Answer: LCM of Numerators as per given numbers 91/199, 83/117, 492/591 is

LCM of Numerators i.e. for 91,83,492 is 3716076

GCF of denominators i.e. for 199,117,591 is 1.

Thus, LCM of Fractions is 3716076.Finally, LCM of Fractions for 91/199, 83/117, 492/591 is 3716076.