Least Common Multiple of 422/189, 326/667, 381/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/189, 326/667, 381/737 quickly i.e. 26207466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/189, 326/667, 381/737 is 26207466.

LCM(422/189, 326/667, 381/737) = 26207466

LCM of 422/189, 326/667, 381/737

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 422/189,326/667,381/737

Given numbers are 422/189,326/667,381/737

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 422,326,381

Least Common Multiple of Numerators i.e. LCM of 422,326,381 is 26207466.

GCF of Denominators means GCF of 189,667,737 as per the given fractions.

GCF of 189,667,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,326,381

LCM of Fractions 422/189,326/667,381/737 is 26207466

2 422, 326, 381
211, 163, 381

∴ So the LCM of the given numbers is 2 x 211 x 163 x 381 = 26207466

Least Common Multiple of 422,326,381 with GCF Formula

Least Common Multiple of 422,326,381 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 422,326,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,326,381) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(422,326,381) x common factors =1 x 2 = 2

LCM(422,326,381) = ( 422 × 326 × 381 ) / 2

LCM(422,326,381) = 52414932 / 2

LCM(422,326,381) = 26207466


Lets's calculate GCF of 189,667,737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26207466/1

Therefore the LCM of Fractions 422/189,326/667,381/737 is 26207466

Greatest Common Factor of 189,667,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,667,737 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

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

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 189,667,737 . The biggest common factor number is the GCF number.
So the greatest common factor 189,667,737 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 422/189, 326/667, 381/737

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 422/189, 326/667, 381/737?

Answer: LCM of Numerators as per given numbers 422/189, 326/667, 381/737 is

LCM of Numerators i.e. for 422,326,381 is 26207466

GCF of denominators i.e. for 189,667,737 is 1.

Thus, LCM of Fractions is 26207466.Finally, LCM of Fractions for 422/189, 326/667, 381/737 is 26207466.