Least Common Multiple of 3/422, 83/221, 53/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/422, 83/221, 53/664 quickly i.e. 13197 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/422, 83/221, 53/664 is 13197.

LCM(3/422, 83/221, 53/664) = 13197

LCM of 3/422, 83/221, 53/664

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 3/422,83/221,53/664

Given numbers are 3/422,83/221,53/664

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 3,83,53

Least Common Multiple of Numerators i.e. LCM of 3,83,53 is 13197.

GCF of Denominators means GCF of 422,221,664 as per the given fractions.

GCF of 422,221,664 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,83,53

LCM of Fractions 3/422,83/221,53/664 is 13197

Given numbers has no common factors except 1. So, there LCM is their product i.e 13197

Least Common Multiple of 3,83,53 with GCF Formula

Least Common Multiple of 3,83,53 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 3,83,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,83,53) = 1

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

GCF(3,83,53) x common factors =1 x 1 = 1

LCM(3,83,53) = ( 3 × 83 × 53 ) / 1

LCM(3,83,53) = 13197 / 1

LCM(3,83,53) = 13197


Lets's calculate GCF of 422,221,664

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13197/1

Therefore the LCM of Fractions 3/422,83/221,53/664 is 13197

Greatest Common Factor of 422,221,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,221,664 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 422,221,664 . The biggest common factor number is the GCF number.
So the greatest common factor 422,221,664 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 3/422, 83/221, 53/664

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 3/422, 83/221, 53/664?

Answer: LCM of Numerators as per given numbers 3/422, 83/221, 53/664 is

LCM of Numerators i.e. for 3,83,53 is 13197

GCF of denominators i.e. for 422,221,664 is 1.

Thus, LCM of Fractions is 13197.Finally, LCM of Fractions for 3/422, 83/221, 53/664 is 13197.