Least Common Multiple of 491/96, 832/34, 301/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/96, 832/34, 301/626 quickly i.e. 61481056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/96, 832/34, 301/626 is 61481056.

LCM(491/96, 832/34, 301/626) = 61481056

LCM of 491/96, 832/34, 301/626

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 491/96,832/34,301/626

Given numbers are 491/96,832/34,301/626

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 491,832,301

Least Common Multiple of Numerators i.e. LCM of 491,832,301 is 122962112.

GCF of Denominators means GCF of 96,34,626 as per the given fractions.

GCF of 96,34,626 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,832,301

LCM of Fractions 491/96,832/34,301/626 is 61481056

Given numbers has no common factors except 1. So, there LCM is their product i.e 122962112

Least Common Multiple of 491,832,301 with GCF Formula

Least Common Multiple of 491,832,301 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 491,832,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,832,301) = 1

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

GCF(491,832,301) x common factors =1 x 1 = 1

LCM(491,832,301) = ( 491 × 832 × 301 ) / 1

LCM(491,832,301) = 122962112 / 1

LCM(491,832,301) = 122962112


Lets's calculate GCF of 96,34,626

2 96, 34, 626
48, 17, 313

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122962112/2

Therefore the LCM of Fractions 491/96,832/34,301/626 is 61481056

Greatest Common Factor of 96,34,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,34,626 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 96,34,626 . The biggest common factor number is the GCF number.
So the greatest common factor 96,34,626 is 2.


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 491/96, 832/34, 301/626

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 491/96, 832/34, 301/626?

Answer: LCM of Numerators as per given numbers 491/96, 832/34, 301/626 is

LCM of Numerators i.e. for 491,832,301 is 122962112

GCF of denominators i.e. for 96,34,626 is 2.

Thus, LCM of Fractions is 61481056.Finally, LCM of Fractions for 491/96, 832/34, 301/626 is 61481056.