Least Common Multiple of 75/741, 3244/6498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/741, 3244/6498 quickly i.e. 243300/57 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/741, 3244/6498 is 243300/57.

LCM(75/741, 3244/6498) = 243300/57

LCM of 75/741, 3244/6498

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 75/741,3244/6498

Given numbers are 75/741,3244/6498

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 75,3244

Least Common Multiple of Numerators i.e. LCM of 75,3244 is 243300.

GCF of Denominators means GCF of 741,6498 as per the given fractions.

GCF of 741,6498 is 57 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,3244

LCM of Fractions 75/741,3244/6498 is 243300/57

Given numbers has no common factors except 1. So, there LCM is their product i.e 243300

Least Common Multiple of 75,3244 with GCF Formula

Least Common Multiple of 75,3244 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 75,3244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,3244) = 1

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

GCF(75,3244) x common factors =1 x 1 = 1

LCM(75,3244) = ( 75 × 3244 ) / 1

LCM(75,3244) = 243300 / 1

LCM(75,3244) = 243300


Lets's calculate GCF of 741,6498

3 741, 6498
19 247, 2166
13, 114

∴ So the GCF of the given numbers is 3 x 19 = 57

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243300/57

Therefore the LCM of Fractions 75/741,3244/6498 is 243300/57

Greatest Common Factor of 741,6498 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,6498 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 6498

List of positive integer factors of 6498 that divides 6498 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342,361,722,1083,2166,3249,6498

Greatest Common Factor

We found the factors 741,6498 . The biggest common factor number is the GCF number.
So the greatest common factor 741,6498 is 57.


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 75/741, 3244/6498

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 75/741, 3244/6498?

Answer: LCM of Numerators as per given numbers 75/741, 3244/6498 is

LCM of Numerators i.e. for 75,3244 is 243300

GCF of denominators i.e. for 741,6498 is 57.

Thus, LCM of Fractions is 243300/57.Finally, LCM of Fractions for 75/741, 3244/6498 is 243300/57.