Least Common Multiple of 422/351, 8322/7599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/351, 8322/7599 quickly i.e. 585314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/351, 8322/7599 is 585314.

LCM(422/351, 8322/7599) = 585314

LCM of 422/351, 8322/7599

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 422/351,8322/7599

Given numbers are 422/351,8322/7599

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 422,8322

Least Common Multiple of Numerators i.e. LCM of 422,8322 is 1755942.

GCF of Denominators means GCF of 351,7599 as per the given fractions.

GCF of 351,7599 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,8322

LCM of Fractions 422/351,8322/7599 is 585314

2 422, 8322
211, 4161

∴ So the LCM of the given numbers is 2 x 211 x 4161 = 1755942

Least Common Multiple of 422,8322 with GCF Formula

Least Common Multiple of 422,8322 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 422,8322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,8322) = 2

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

GCF(422,8322) x common factors =2 x 1 = 2

LCM(422,8322) = ( 422 × 8322 ) / 2

LCM(422,8322) = 3511884 / 2

LCM(422,8322) = 1755942


Lets's calculate GCF of 351,7599

3 351, 7599
117, 2533

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1755942/3

Therefore the LCM of Fractions 422/351,8322/7599 is 585314

Greatest Common Factor of 351,7599 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,7599 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 7599

List of positive integer factors of 7599 that divides 7599 without a remainder.

1,3,17,51,149,447,2533,7599

Greatest Common Factor

We found the factors 351,7599 . The biggest common factor number is the GCF number.
So the greatest common factor 351,7599 is 3.


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 422/351, 8322/7599

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 422/351, 8322/7599?

Answer: LCM of Numerators as per given numbers 422/351, 8322/7599 is

LCM of Numerators i.e. for 422,8322 is 1755942

GCF of denominators i.e. for 351,7599 is 3.

Thus, LCM of Fractions is 585314.Finally, LCM of Fractions for 422/351, 8322/7599 is 585314.