Least Common Multiple of 422/74, 231/9045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 422/74, 231/9045 quickly i.e. 97482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/74, 231/9045 is 97482.

LCM(422/74, 231/9045) = 97482

LCM of 422/74, 231/9045

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 422/74,231/9045

Given numbers are 422/74,231/9045

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 422,231

Least Common Multiple of Numerators i.e. LCM of 422,231 is 97482.

GCF of Denominators means GCF of 74,9045 as per the given fractions.

GCF of 74,9045 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,231

LCM of Fractions 422/74,231/9045 is 97482

Given numbers has no common factors except 1. So, there LCM is their product i.e 97482

Least Common Multiple of 422,231 with GCF Formula

Least Common Multiple of 422,231 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 422,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,231) = 1

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

GCF(422,231) x common factors =1 x 1 = 1

LCM(422,231) = ( 422 × 231 ) / 1

LCM(422,231) = 97482 / 1

LCM(422,231) = 97482


Lets's calculate GCF of 74,9045

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97482/1

Therefore the LCM of Fractions 422/74,231/9045 is 97482

Greatest Common Factor of 74,9045 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,9045 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 9045

List of positive integer factors of 9045 that divides 9045 without a remainder.

1,3,5,9,15,27,45,67,135,201,335,603,1005,1809,3015,9045

Greatest Common Factor

We found the factors 74,9045 . The biggest common factor number is the GCF number.
So the greatest common factor 74,9045 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 422/74, 231/9045

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 422/74, 231/9045?

Answer: LCM of Numerators as per given numbers 422/74, 231/9045 is

LCM of Numerators i.e. for 422,231 is 97482

GCF of denominators i.e. for 74,9045 is 1.

Thus, LCM of Fractions is 97482.Finally, LCM of Fractions for 422/74, 231/9045 is 97482.