Least Common Multiple of 422/61, 328/4657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/61, 328/4657 quickly i.e. 69208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/61, 328/4657 is 69208.

LCM(422/61, 328/4657) = 69208

LCM of 422/61, 328/4657

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 422/61,328/4657

Given numbers are 422/61,328/4657

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 422,328

Least Common Multiple of Numerators i.e. LCM of 422,328 is 69208.

GCF of Denominators means GCF of 61,4657 as per the given fractions.

GCF of 61,4657 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,328

LCM of Fractions 422/61,328/4657 is 69208

2 422, 328
211, 164

∴ So the LCM of the given numbers is 2 x 211 x 164 = 69208

Least Common Multiple of 422,328 with GCF Formula

Least Common Multiple of 422,328 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 422,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,328) = 2

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

GCF(422,328) x common factors =2 x 1 = 2

LCM(422,328) = ( 422 × 328 ) / 2

LCM(422,328) = 138416 / 2

LCM(422,328) = 69208


Lets's calculate GCF of 61,4657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69208/1

Therefore the LCM of Fractions 422/61,328/4657 is 69208

Greatest Common Factor of 61,4657 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,4657 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 4657

List of positive integer factors of 4657 that divides 4657 without a remainder.

1,4657

Greatest Common Factor

We found the factors 61,4657 . The biggest common factor number is the GCF number.
So the greatest common factor 61,4657 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 422/61, 328/4657

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 422/61, 328/4657?

Answer: LCM of Numerators as per given numbers 422/61, 328/4657 is

LCM of Numerators i.e. for 422,328 is 69208

GCF of denominators i.e. for 61,4657 is 1.

Thus, LCM of Fractions is 69208.Finally, LCM of Fractions for 422/61, 328/4657 is 69208.