Least Common Multiple of 643/96, 738/6722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 643/96, 738/6722 quickly i.e. 237267 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 643/96, 738/6722 is 237267.

LCM(643/96, 738/6722) = 237267

LCM of 643/96, 738/6722

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 643/96,738/6722

Given numbers are 643/96,738/6722

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 643,738

Least Common Multiple of Numerators i.e. LCM of 643,738 is 474534.

GCF of Denominators means GCF of 96,6722 as per the given fractions.

GCF of 96,6722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 643,738

LCM of Fractions 643/96,738/6722 is 237267

Given numbers has no common factors except 1. So, there LCM is their product i.e 474534

Least Common Multiple of 643,738 with GCF Formula

Least Common Multiple of 643,738 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 643,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,738) = 1

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

GCF(643,738) x common factors =1 x 1 = 1

LCM(643,738) = ( 643 × 738 ) / 1

LCM(643,738) = 474534 / 1

LCM(643,738) = 474534


Lets's calculate GCF of 96,6722

2 96, 6722
48, 3361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474534/2

Therefore the LCM of Fractions 643/96,738/6722 is 237267

Greatest Common Factor of 96,6722 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,6722 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 6722

List of positive integer factors of 6722 that divides 6722 without a remainder.

1,2,3361,6722

Greatest Common Factor

We found the factors 96,6722 . The biggest common factor number is the GCF number.
So the greatest common factor 96,6722 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 643/96, 738/6722

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 643/96, 738/6722?

Answer: LCM of Numerators as per given numbers 643/96, 738/6722 is

LCM of Numerators i.e. for 643,738 is 474534

GCF of denominators i.e. for 96,6722 is 2.

Thus, LCM of Fractions is 237267.Finally, LCM of Fractions for 643/96, 738/6722 is 237267.