Least Common Multiple of 422/89, 892/7277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/89, 892/7277 quickly i.e. 188212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/89, 892/7277 is 188212.

LCM(422/89, 892/7277) = 188212

LCM of 422/89, 892/7277

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 422/89,892/7277

Given numbers are 422/89,892/7277

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 422,892

Least Common Multiple of Numerators i.e. LCM of 422,892 is 188212.

GCF of Denominators means GCF of 89,7277 as per the given fractions.

GCF of 89,7277 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,892

LCM of Fractions 422/89,892/7277 is 188212

2 422, 892
211, 446

∴ So the LCM of the given numbers is 2 x 211 x 446 = 188212

Least Common Multiple of 422,892 with GCF Formula

Least Common Multiple of 422,892 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 422,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,892) = 2

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

GCF(422,892) x common factors =2 x 1 = 2

LCM(422,892) = ( 422 × 892 ) / 2

LCM(422,892) = 376424 / 2

LCM(422,892) = 188212


Lets's calculate GCF of 89,7277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188212/1

Therefore the LCM of Fractions 422/89,892/7277 is 188212

Greatest Common Factor of 89,7277 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,7277 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 7277

List of positive integer factors of 7277 that divides 7277 without a remainder.

1,19,383,7277

Greatest Common Factor

We found the factors 89,7277 . The biggest common factor number is the GCF number.
So the greatest common factor 89,7277 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 422/89, 892/7277

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 422/89, 892/7277?

Answer: LCM of Numerators as per given numbers 422/89, 892/7277 is

LCM of Numerators i.e. for 422,892 is 188212

GCF of denominators i.e. for 89,7277 is 1.

Thus, LCM of Fractions is 188212.Finally, LCM of Fractions for 422/89, 892/7277 is 188212.