Least Common Multiple of 717/55, 816/89, 235/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 717/55, 816/89, 235/288 quickly i.e. 45830640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 717/55, 816/89, 235/288 is 45830640.

LCM(717/55, 816/89, 235/288) = 45830640

LCM of 717/55, 816/89, 235/288

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 717/55,816/89,235/288

Given numbers are 717/55,816/89,235/288

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 717,816,235

Least Common Multiple of Numerators i.e. LCM of 717,816,235 is 45830640.

GCF of Denominators means GCF of 55,89,288 as per the given fractions.

GCF of 55,89,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 717,816,235

LCM of Fractions 717/55,816/89,235/288 is 45830640

3 717, 816, 235
239, 272, 235

∴ So the LCM of the given numbers is 3 x 239 x 272 x 235 = 45830640

Least Common Multiple of 717,816,235 with GCF Formula

Least Common Multiple of 717,816,235 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 717,816,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,816,235) = 1

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

GCF(717,816,235) x common factors =1 x 3 = 3

LCM(717,816,235) = ( 717 × 816 × 235 ) / 3

LCM(717,816,235) = 137491920 / 3

LCM(717,816,235) = 45830640


Lets's calculate GCF of 55,89,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45830640/1

Therefore the LCM of Fractions 717/55,816/89,235/288 is 45830640

Greatest Common Factor of 55,89,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,89,288 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 55,89,288 . The biggest common factor number is the GCF number.
So the greatest common factor 55,89,288 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 717/55, 816/89, 235/288

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 717/55, 816/89, 235/288?

Answer: LCM of Numerators as per given numbers 717/55, 816/89, 235/288 is

LCM of Numerators i.e. for 717,816,235 is 45830640

GCF of denominators i.e. for 55,89,288 is 1.

Thus, LCM of Fractions is 45830640.Finally, LCM of Fractions for 717/55, 816/89, 235/288 is 45830640.