Least Common Multiple of 21/128, 950/124, 523/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/128, 950/124, 523/230 quickly i.e. 5216925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/128, 950/124, 523/230 is 5216925.

LCM(21/128, 950/124, 523/230) = 5216925

LCM of 21/128, 950/124, 523/230

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 21/128,950/124,523/230

Given numbers are 21/128,950/124,523/230

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 21,950,523

Least Common Multiple of Numerators i.e. LCM of 21,950,523 is 10433850.

GCF of Denominators means GCF of 128,124,230 as per the given fractions.

GCF of 128,124,230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,950,523

LCM of Fractions 21/128,950/124,523/230 is 5216925

Given numbers has no common factors except 1. So, there LCM is their product i.e 10433850

Least Common Multiple of 21,950,523 with GCF Formula

Least Common Multiple of 21,950,523 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 21,950,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,950,523) = 1

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

GCF(21,950,523) x common factors =1 x 1 = 1

LCM(21,950,523) = ( 21 × 950 × 523 ) / 1

LCM(21,950,523) = 10433850 / 1

LCM(21,950,523) = 10433850


Lets's calculate GCF of 128,124,230

2 128, 124, 230
64, 62, 115

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10433850/2

Therefore the LCM of Fractions 21/128,950/124,523/230 is 5216925

Greatest Common Factor of 128,124,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,124,230 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 128,124,230 . The biggest common factor number is the GCF number.
So the greatest common factor 128,124,230 is 2.


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 21/128, 950/124, 523/230

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 21/128, 950/124, 523/230?

Answer: LCM of Numerators as per given numbers 21/128, 950/124, 523/230 is

LCM of Numerators i.e. for 21,950,523 is 10433850

GCF of denominators i.e. for 128,124,230 is 2.

Thus, LCM of Fractions is 5216925.Finally, LCM of Fractions for 21/128, 950/124, 523/230 is 5216925.