Least Common Multiple of 717/11, 1566/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 717/11, 1566/433 quickly i.e. 374274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 717/11, 1566/433 is 374274.

LCM(717/11, 1566/433) = 374274

LCM of 717/11, 1566/433

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 717/11,1566/433

Given numbers are 717/11,1566/433

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 717,1566

Least Common Multiple of Numerators i.e. LCM of 717,1566 is 374274.

GCF of Denominators means GCF of 11,433 as per the given fractions.

GCF of 11,433 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 717,1566

LCM of Fractions 717/11,1566/433 is 374274

3 717, 1566
239, 522

∴ So the LCM of the given numbers is 3 x 239 x 522 = 374274

Least Common Multiple of 717,1566 with GCF Formula

Least Common Multiple of 717,1566 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 717,1566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,1566) = 3

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

GCF(717,1566) x common factors =3 x 1 = 3

LCM(717,1566) = ( 717 × 1566 ) / 3

LCM(717,1566) = 1122822 / 3

LCM(717,1566) = 374274


Lets's calculate GCF of 11,433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 374274/1

Therefore the LCM of Fractions 717/11,1566/433 is 374274

Greatest Common Factor of 11,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,433 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 11,433 . The biggest common factor number is the GCF number.
So the greatest common factor 11,433 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 717/11, 1566/433

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 717/11, 1566/433?

Answer: LCM of Numerators as per given numbers 717/11, 1566/433 is

LCM of Numerators i.e. for 717,1566 is 374274

GCF of denominators i.e. for 11,433 is 1.

Thus, LCM of Fractions is 374274.Finally, LCM of Fractions for 717/11, 1566/433 is 374274.