Least Common Multiple of 6048/732, 7271/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6048/732, 7271/915 quickly i.e. 43975008/183 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6048/732, 7271/915 is 43975008/183.

LCM(6048/732, 7271/915) = 43975008/183

LCM of 6048/732, 7271/915

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 6048/732,7271/915

Given numbers are 6048/732,7271/915

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 6048,7271

Least Common Multiple of Numerators i.e. LCM of 6048,7271 is 43975008.

GCF of Denominators means GCF of 732,915 as per the given fractions.

GCF of 732,915 is 183 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6048,7271

LCM of Fractions 6048/732,7271/915 is 43975008/183

Given numbers has no common factors except 1. So, there LCM is their product i.e 43975008

Least Common Multiple of 6048,7271 with GCF Formula

Least Common Multiple of 6048,7271 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 6048,7271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6048,7271) = 1

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

GCF(6048,7271) x common factors =1 x 1 = 1

LCM(6048,7271) = ( 6048 × 7271 ) / 1

LCM(6048,7271) = 43975008 / 1

LCM(6048,7271) = 43975008


Lets's calculate GCF of 732,915

3 732, 915
61 244, 305
4, 5

∴ So the GCF of the given numbers is 3 x 61 = 183

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43975008/183

Therefore the LCM of Fractions 6048/732,7271/915 is 43975008/183

Greatest Common Factor of 732,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,915 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 732,915 . The biggest common factor number is the GCF number.
So the greatest common factor 732,915 is 183.


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 6048/732, 7271/915

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 6048/732, 7271/915?

Answer: LCM of Numerators as per given numbers 6048/732, 7271/915 is

LCM of Numerators i.e. for 6048,7271 is 43975008

GCF of denominators i.e. for 732,915 is 183.

Thus, LCM of Fractions is 43975008/183.Finally, LCM of Fractions for 6048/732, 7271/915 is 43975008/183.