Least Common Multiple of 43/95, 90/404, 576/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/95, 90/404, 576/123 quickly i.e. 123840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/95, 90/404, 576/123 is 123840.

LCM(43/95, 90/404, 576/123) = 123840

LCM of 43/95, 90/404, 576/123

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 43/95,90/404,576/123

Given numbers are 43/95,90/404,576/123

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 43,90,576

Least Common Multiple of Numerators i.e. LCM of 43,90,576 is 123840.

GCF of Denominators means GCF of 95,404,123 as per the given fractions.

GCF of 95,404,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,90,576

LCM of Fractions 43/95,90/404,576/123 is 123840

2 43, 90, 576
3 43, 45, 288
3 43, 15, 96
43, 5, 32

∴ So the LCM of the given numbers is 2 x 3 x 3 x 43 x 5 x 32 = 123840

Least Common Multiple of 43,90,576 with GCF Formula

Least Common Multiple of 43,90,576 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 43,90,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,90,576) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(43,90,576) x common factors =1 x 18 = 18

LCM(43,90,576) = ( 43 × 90 × 576 ) / 18

LCM(43,90,576) = 2229120 / 18

LCM(43,90,576) = 123840


Lets's calculate GCF of 95,404,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123840/1

Therefore the LCM of Fractions 43/95,90/404,576/123 is 123840

Greatest Common Factor of 95,404,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,404,123 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 95,404,123 . The biggest common factor number is the GCF number.
So the greatest common factor 95,404,123 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 43/95, 90/404, 576/123

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 43/95, 90/404, 576/123?

Answer: LCM of Numerators as per given numbers 43/95, 90/404, 576/123 is

LCM of Numerators i.e. for 43,90,576 is 123840

GCF of denominators i.e. for 95,404,123 is 1.

Thus, LCM of Fractions is 123840.Finally, LCM of Fractions for 43/95, 90/404, 576/123 is 123840.