Least Common Multiple of 423/999, 5642/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 423/999, 5642/747 quickly i.e. 265174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 423/999, 5642/747 is 265174.

LCM(423/999, 5642/747) = 265174

LCM of 423/999, 5642/747

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 423/999,5642/747

Given numbers are 423/999,5642/747

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 423,5642

Least Common Multiple of Numerators i.e. LCM of 423,5642 is 2386566.

GCF of Denominators means GCF of 999,747 as per the given fractions.

GCF of 999,747 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 423,5642

LCM of Fractions 423/999,5642/747 is 265174

Given numbers has no common factors except 1. So, there LCM is their product i.e 2386566

Least Common Multiple of 423,5642 with GCF Formula

Least Common Multiple of 423,5642 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 423,5642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,5642) = 1

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

GCF(423,5642) x common factors =1 x 1 = 1

LCM(423,5642) = ( 423 × 5642 ) / 1

LCM(423,5642) = 2386566 / 1

LCM(423,5642) = 2386566


Lets's calculate GCF of 999,747

3 999, 747
3 333, 249
111, 83

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2386566/9

Therefore the LCM of Fractions 423/999,5642/747 is 265174

Greatest Common Factor of 999,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,747 By Matching Biggest Common Factor Method

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 999,747 . The biggest common factor number is the GCF number.
So the greatest common factor 999,747 is 9.


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 423/999, 5642/747

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 423/999, 5642/747?

Answer: LCM of Numerators as per given numbers 423/999, 5642/747 is

LCM of Numerators i.e. for 423,5642 is 2386566

GCF of denominators i.e. for 999,747 is 9.

Thus, LCM of Fractions is 265174.Finally, LCM of Fractions for 423/999, 5642/747 is 265174.