Least Common Multiple of 743/21, 8052/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 743/21, 8052/642 quickly i.e. 1994212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 743/21, 8052/642 is 1994212.

LCM(743/21, 8052/642) = 1994212

LCM of 743/21, 8052/642

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 743/21,8052/642

Given numbers are 743/21,8052/642

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 743,8052

Least Common Multiple of Numerators i.e. LCM of 743,8052 is 5982636.

GCF of Denominators means GCF of 21,642 as per the given fractions.

GCF of 21,642 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 743,8052

LCM of Fractions 743/21,8052/642 is 1994212

Given numbers has no common factors except 1. So, there LCM is their product i.e 5982636

Least Common Multiple of 743,8052 with GCF Formula

Least Common Multiple of 743,8052 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 743,8052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,8052) = 1

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

GCF(743,8052) x common factors =1 x 1 = 1

LCM(743,8052) = ( 743 × 8052 ) / 1

LCM(743,8052) = 5982636 / 1

LCM(743,8052) = 5982636


Lets's calculate GCF of 21,642

3 21, 642
7, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5982636/3

Therefore the LCM of Fractions 743/21,8052/642 is 1994212

Greatest Common Factor of 21,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,642 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 21,642 . The biggest common factor number is the GCF number.
So the greatest common factor 21,642 is 3.


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 743/21, 8052/642

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 743/21, 8052/642?

Answer: LCM of Numerators as per given numbers 743/21, 8052/642 is

LCM of Numerators i.e. for 743,8052 is 5982636

GCF of denominators i.e. for 21,642 is 3.

Thus, LCM of Fractions is 1994212.Finally, LCM of Fractions for 743/21, 8052/642 is 1994212.