Least Common Multiple of 6084/728, 9749/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6084/728, 9749/741 quickly i.e. 4562532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6084/728, 9749/741 is 4562532.

LCM(6084/728, 9749/741) = 4562532

LCM of 6084/728, 9749/741

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 6084/728,9749/741

Given numbers are 6084/728,9749/741

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 6084,9749

Least Common Multiple of Numerators i.e. LCM of 6084,9749 is 59312916.

GCF of Denominators means GCF of 728,741 as per the given fractions.

GCF of 728,741 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6084,9749

LCM of Fractions 6084/728,9749/741 is 4562532

Given numbers has no common factors except 1. So, there LCM is their product i.e 59312916

Least Common Multiple of 6084,9749 with GCF Formula

Least Common Multiple of 6084,9749 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 6084,9749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6084,9749) = 1

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

GCF(6084,9749) x common factors =1 x 1 = 1

LCM(6084,9749) = ( 6084 × 9749 ) / 1

LCM(6084,9749) = 59312916 / 1

LCM(6084,9749) = 59312916


Lets's calculate GCF of 728,741

13 728, 741
56, 57

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59312916/13

Therefore the LCM of Fractions 6084/728,9749/741 is 4562532

Greatest Common Factor of 728,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,741 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 741

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

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

Greatest Common Factor

We found the factors 728,741 . The biggest common factor number is the GCF number.
So the greatest common factor 728,741 is 13.


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 6084/728, 9749/741

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 6084/728, 9749/741?

Answer: LCM of Numerators as per given numbers 6084/728, 9749/741 is

LCM of Numerators i.e. for 6084,9749 is 59312916

GCF of denominators i.e. for 728,741 is 13.

Thus, LCM of Fractions is 4562532.Finally, LCM of Fractions for 6084/728, 9749/741 is 4562532.