Least Common Multiple of 21/743, 2402/5289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 21/743, 2402/5289 quickly i.e. 50442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/743, 2402/5289 is 50442.

LCM(21/743, 2402/5289) = 50442

LCM of 21/743, 2402/5289

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 21/743,2402/5289

Given numbers are 21/743,2402/5289

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 21,2402

Least Common Multiple of Numerators i.e. LCM of 21,2402 is 50442.

GCF of Denominators means GCF of 743,5289 as per the given fractions.

GCF of 743,5289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,2402

LCM of Fractions 21/743,2402/5289 is 50442

Given numbers has no common factors except 1. So, there LCM is their product i.e 50442

Least Common Multiple of 21,2402 with GCF Formula

Least Common Multiple of 21,2402 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 21,2402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,2402) = 1

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

GCF(21,2402) x common factors =1 x 1 = 1

LCM(21,2402) = ( 21 × 2402 ) / 1

LCM(21,2402) = 50442 / 1

LCM(21,2402) = 50442


Lets's calculate GCF of 743,5289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50442/1

Therefore the LCM of Fractions 21/743,2402/5289 is 50442

Greatest Common Factor of 743,5289 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,5289 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 5289

List of positive integer factors of 5289 that divides 5289 without a remainder.

1,3,41,43,123,129,1763,5289

Greatest Common Factor

We found the factors 743,5289 . The biggest common factor number is the GCF number.
So the greatest common factor 743,5289 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 21/743, 2402/5289

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 21/743, 2402/5289?

Answer: LCM of Numerators as per given numbers 21/743, 2402/5289 is

LCM of Numerators i.e. for 21,2402 is 50442

GCF of denominators i.e. for 743,5289 is 1.

Thus, LCM of Fractions is 50442.Finally, LCM of Fractions for 21/743, 2402/5289 is 50442.