Least Common Multiple of 717/46, 720/59, 381/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 717/46, 720/59, 381/667 quickly i.e. 21854160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 717/46, 720/59, 381/667 is 21854160.

LCM(717/46, 720/59, 381/667) = 21854160

LCM of 717/46, 720/59, 381/667

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 717/46,720/59,381/667

Given numbers are 717/46,720/59,381/667

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 717,720,381

Least Common Multiple of Numerators i.e. LCM of 717,720,381 is 21854160.

GCF of Denominators means GCF of 46,59,667 as per the given fractions.

GCF of 46,59,667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 717,720,381

LCM of Fractions 717/46,720/59,381/667 is 21854160

3 717, 720, 381
239, 240, 127

∴ So the LCM of the given numbers is 3 x 239 x 240 x 127 = 21854160

Least Common Multiple of 717,720,381 with GCF Formula

Least Common Multiple of 717,720,381 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 717,720,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,720,381) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(717,720,381) x common factors =3 x 3 = 9

LCM(717,720,381) = ( 717 × 720 × 381 ) / 9

LCM(717,720,381) = 196687440 / 9

LCM(717,720,381) = 21854160


Lets's calculate GCF of 46,59,667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21854160/1

Therefore the LCM of Fractions 717/46,720/59,381/667 is 21854160

Greatest Common Factor of 46,59,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,59,667 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 46,59,667 . The biggest common factor number is the GCF number.
So the greatest common factor 46,59,667 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 717/46, 720/59, 381/667

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 717/46, 720/59, 381/667?

Answer: LCM of Numerators as per given numbers 717/46, 720/59, 381/667 is

LCM of Numerators i.e. for 717,720,381 is 21854160

GCF of denominators i.e. for 46,59,667 is 1.

Thus, LCM of Fractions is 21854160.Finally, LCM of Fractions for 717/46, 720/59, 381/667 is 21854160.