Least Common Multiple of 1521/791, 2287/6775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1521/791, 2287/6775 quickly i.e. 3478527 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1521/791, 2287/6775 is 3478527.

LCM(1521/791, 2287/6775) = 3478527

LCM of 1521/791, 2287/6775

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 1521/791,2287/6775

Given numbers are 1521/791,2287/6775

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 1521,2287

Least Common Multiple of Numerators i.e. LCM of 1521,2287 is 3478527.

GCF of Denominators means GCF of 791,6775 as per the given fractions.

GCF of 791,6775 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1521,2287

LCM of Fractions 1521/791,2287/6775 is 3478527

Given numbers has no common factors except 1. So, there LCM is their product i.e 3478527

Least Common Multiple of 1521,2287 with GCF Formula

Least Common Multiple of 1521,2287 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 1521,2287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1521,2287) = 1

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

GCF(1521,2287) x common factors =1 x 1 = 1

LCM(1521,2287) = ( 1521 × 2287 ) / 1

LCM(1521,2287) = 3478527 / 1

LCM(1521,2287) = 3478527


Lets's calculate GCF of 791,6775

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3478527/1

Therefore the LCM of Fractions 1521/791,2287/6775 is 3478527

Greatest Common Factor of 791,6775 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,6775 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 6775

List of positive integer factors of 6775 that divides 6775 without a remainder.

1,5,25,271,1355,6775

Greatest Common Factor

We found the factors 791,6775 . The biggest common factor number is the GCF number.
So the greatest common factor 791,6775 is 1.


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 1521/791, 2287/6775

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 1521/791, 2287/6775?

Answer: LCM of Numerators as per given numbers 1521/791, 2287/6775 is

LCM of Numerators i.e. for 1521,2287 is 3478527

GCF of denominators i.e. for 791,6775 is 1.

Thus, LCM of Fractions is 3478527.Finally, LCM of Fractions for 1521/791, 2287/6775 is 3478527.