Least Common Multiple of 87/52, 439/33, 717/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/52, 439/33, 717/230 quickly i.e. 9128127 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/52, 439/33, 717/230 is 9128127.

LCM(87/52, 439/33, 717/230) = 9128127

LCM of 87/52, 439/33, 717/230

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 87/52,439/33,717/230

Given numbers are 87/52,439/33,717/230

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 87,439,717

Least Common Multiple of Numerators i.e. LCM of 87,439,717 is 9128127.

GCF of Denominators means GCF of 52,33,230 as per the given fractions.

GCF of 52,33,230 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,439,717

LCM of Fractions 87/52,439/33,717/230 is 9128127

3 87, 439, 717
29, 439, 239

∴ So the LCM of the given numbers is 3 x 29 x 439 x 239 = 9128127

Least Common Multiple of 87,439,717 with GCF Formula

Least Common Multiple of 87,439,717 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 87,439,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,439,717) = 1

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

GCF(87,439,717) x common factors =1 x 3 = 3

LCM(87,439,717) = ( 87 × 439 × 717 ) / 3

LCM(87,439,717) = 27384381 / 3

LCM(87,439,717) = 9128127


Lets's calculate GCF of 52,33,230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9128127/1

Therefore the LCM of Fractions 87/52,439/33,717/230 is 9128127

Greatest Common Factor of 52,33,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,33,230 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 52,33,230 . The biggest common factor number is the GCF number.
So the greatest common factor 52,33,230 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 87/52, 439/33, 717/230

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 87/52, 439/33, 717/230?

Answer: LCM of Numerators as per given numbers 87/52, 439/33, 717/230 is

LCM of Numerators i.e. for 87,439,717 is 9128127

GCF of denominators i.e. for 52,33,230 is 1.

Thus, LCM of Fractions is 9128127.Finally, LCM of Fractions for 87/52, 439/33, 717/230 is 9128127.