Least Common Multiple of 422/194, 9747/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/194, 9747/290 quickly i.e. 2056617 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/194, 9747/290 is 2056617.

LCM(422/194, 9747/290) = 2056617

LCM of 422/194, 9747/290

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 422/194,9747/290

Given numbers are 422/194,9747/290

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 422,9747

Least Common Multiple of Numerators i.e. LCM of 422,9747 is 4113234.

GCF of Denominators means GCF of 194,290 as per the given fractions.

GCF of 194,290 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,9747

LCM of Fractions 422/194,9747/290 is 2056617

Given numbers has no common factors except 1. So, there LCM is their product i.e 4113234

Least Common Multiple of 422,9747 with GCF Formula

Least Common Multiple of 422,9747 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 422,9747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,9747) = 1

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

GCF(422,9747) x common factors =1 x 1 = 1

LCM(422,9747) = ( 422 × 9747 ) / 1

LCM(422,9747) = 4113234 / 1

LCM(422,9747) = 4113234


Lets's calculate GCF of 194,290

2 194, 290
97, 145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4113234/2

Therefore the LCM of Fractions 422/194,9747/290 is 2056617

Greatest Common Factor of 194,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,290 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 194,290 . The biggest common factor number is the GCF number.
So the greatest common factor 194,290 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 422/194, 9747/290

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 422/194, 9747/290?

Answer: LCM of Numerators as per given numbers 422/194, 9747/290 is

LCM of Numerators i.e. for 422,9747 is 4113234

GCF of denominators i.e. for 194,290 is 2.

Thus, LCM of Fractions is 2056617.Finally, LCM of Fractions for 422/194, 9747/290 is 2056617.