Least Common Multiple of 1478/750, 5241/6591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1478/750, 5241/6591 quickly i.e. 2582066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1478/750, 5241/6591 is 2582066.

LCM(1478/750, 5241/6591) = 2582066

LCM of 1478/750, 5241/6591

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 1478/750,5241/6591

Given numbers are 1478/750,5241/6591

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 1478,5241

Least Common Multiple of Numerators i.e. LCM of 1478,5241 is 7746198.

GCF of Denominators means GCF of 750,6591 as per the given fractions.

GCF of 750,6591 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1478,5241

LCM of Fractions 1478/750,5241/6591 is 2582066

Given numbers has no common factors except 1. So, there LCM is their product i.e 7746198

Least Common Multiple of 1478,5241 with GCF Formula

Least Common Multiple of 1478,5241 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 1478,5241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1478,5241) = 1

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

GCF(1478,5241) x common factors =1 x 1 = 1

LCM(1478,5241) = ( 1478 × 5241 ) / 1

LCM(1478,5241) = 7746198 / 1

LCM(1478,5241) = 7746198


Lets's calculate GCF of 750,6591

3 750, 6591
250, 2197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7746198/3

Therefore the LCM of Fractions 1478/750,5241/6591 is 2582066

Greatest Common Factor of 750,6591 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,6591 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 6591

List of positive integer factors of 6591 that divides 6591 without a remainder.

1,3,13,39,169,507,2197,6591

Greatest Common Factor

We found the factors 750,6591 . The biggest common factor number is the GCF number.
So the greatest common factor 750,6591 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 1478/750, 5241/6591

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 1478/750, 5241/6591?

Answer: LCM of Numerators as per given numbers 1478/750, 5241/6591 is

LCM of Numerators i.e. for 1478,5241 is 7746198

GCF of denominators i.e. for 750,6591 is 3.

Thus, LCM of Fractions is 2582066.Finally, LCM of Fractions for 1478/750, 5241/6591 is 2582066.