Least Common Multiple of 90/43, 302/81, 382/23

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/43, 302/81, 382/23 quickly i.e. 2595690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/43, 302/81, 382/23 is 2595690.

LCM(90/43, 302/81, 382/23) = 2595690

LCM of 90/43, 302/81, 382/23

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 90/43,302/81,382/23

Given numbers are 90/43,302/81,382/23

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 90,302,382

Least Common Multiple of Numerators i.e. LCM of 90,302,382 is 2595690.

GCF of Denominators means GCF of 43,81,23 as per the given fractions.

GCF of 43,81,23 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,302,382

LCM of Fractions 90/43,302/81,382/23 is 2595690

2 90, 302, 382
45, 151, 191

∴ So the LCM of the given numbers is 2 x 45 x 151 x 191 = 2595690

Least Common Multiple of 90,302,382 with GCF Formula

Least Common Multiple of 90,302,382 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 90,302,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,302,382) = 2

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

GCF(90,302,382) x common factors =2 x 2 = 4

LCM(90,302,382) = ( 90 × 302 × 382 ) / 4

LCM(90,302,382) = 10382760 / 4

LCM(90,302,382) = 2595690


Lets's calculate GCF of 43,81,23

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2595690/1

Therefore the LCM of Fractions 90/43,302/81,382/23 is 2595690

Greatest Common Factor of 43,81,23 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,81,23 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Greatest Common Factor

We found the factors 43,81,23 . The biggest common factor number is the GCF number.
So the greatest common factor 43,81,23 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 90/43, 302/81, 382/23

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 90/43, 302/81, 382/23?

Answer: LCM of Numerators as per given numbers 90/43, 302/81, 382/23 is

LCM of Numerators i.e. for 90,302,382 is 2595690

GCF of denominators i.e. for 43,81,23 is 1.

Thus, LCM of Fractions is 2595690.Finally, LCM of Fractions for 90/43, 302/81, 382/23 is 2595690.