Least Common Multiple of 422/567, 834/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/567, 834/122 quickly i.e. 175974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/567, 834/122 is 175974.

LCM(422/567, 834/122) = 175974

LCM of 422/567, 834/122

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 422/567,834/122

Given numbers are 422/567,834/122

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 422,834

Least Common Multiple of Numerators i.e. LCM of 422,834 is 175974.

GCF of Denominators means GCF of 567,122 as per the given fractions.

GCF of 567,122 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,834

LCM of Fractions 422/567,834/122 is 175974

2 422, 834
211, 417

∴ So the LCM of the given numbers is 2 x 211 x 417 = 175974

Least Common Multiple of 422,834 with GCF Formula

Least Common Multiple of 422,834 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 422,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,834) = 2

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

GCF(422,834) x common factors =2 x 1 = 2

LCM(422,834) = ( 422 × 834 ) / 2

LCM(422,834) = 351948 / 2

LCM(422,834) = 175974


Lets's calculate GCF of 567,122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175974/1

Therefore the LCM of Fractions 422/567,834/122 is 175974

Greatest Common Factor of 567,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,122 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 567,122 . The biggest common factor number is the GCF number.
So the greatest common factor 567,122 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 422/567, 834/122

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 422/567, 834/122?

Answer: LCM of Numerators as per given numbers 422/567, 834/122 is

LCM of Numerators i.e. for 422,834 is 175974

GCF of denominators i.e. for 567,122 is 1.

Thus, LCM of Fractions is 175974.Finally, LCM of Fractions for 422/567, 834/122 is 175974.