Least Common Multiple of 491/91, 493/3470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 491/91, 493/3470 quickly i.e. 242063 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/91, 493/3470 is 242063.

LCM(491/91, 493/3470) = 242063

LCM of 491/91, 493/3470

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 491/91,493/3470

Given numbers are 491/91,493/3470

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 491,493

Least Common Multiple of Numerators i.e. LCM of 491,493 is 242063.

GCF of Denominators means GCF of 91,3470 as per the given fractions.

GCF of 91,3470 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,493

LCM of Fractions 491/91,493/3470 is 242063

Given numbers has no common factors except 1. So, there LCM is their product i.e 242063

Least Common Multiple of 491,493 with GCF Formula

Least Common Multiple of 491,493 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 491,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,493) = 1

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

GCF(491,493) x common factors =1 x 1 = 1

LCM(491,493) = ( 491 × 493 ) / 1

LCM(491,493) = 242063 / 1

LCM(491,493) = 242063


Lets's calculate GCF of 91,3470

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242063/1

Therefore the LCM of Fractions 491/91,493/3470 is 242063

Greatest Common Factor of 91,3470 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,3470 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 3470

List of positive integer factors of 3470 that divides 3470 without a remainder.

1,2,5,10,347,694,1735,3470

Greatest Common Factor

We found the factors 91,3470 . The biggest common factor number is the GCF number.
So the greatest common factor 91,3470 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 491/91, 493/3470

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 491/91, 493/3470?

Answer: LCM of Numerators as per given numbers 491/91, 493/3470 is

LCM of Numerators i.e. for 491,493 is 242063

GCF of denominators i.e. for 91,3470 is 1.

Thus, LCM of Fractions is 242063.Finally, LCM of Fractions for 491/91, 493/3470 is 242063.