Least Common Multiple of 59/587, 26/322, 209/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/587, 26/322, 209/688 quickly i.e. 320606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/587, 26/322, 209/688 is 320606.

LCM(59/587, 26/322, 209/688) = 320606

LCM of 59/587, 26/322, 209/688

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 59/587,26/322,209/688

Given numbers are 59/587,26/322,209/688

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 59,26,209

Least Common Multiple of Numerators i.e. LCM of 59,26,209 is 320606.

GCF of Denominators means GCF of 587,322,688 as per the given fractions.

GCF of 587,322,688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,26,209

LCM of Fractions 59/587,26/322,209/688 is 320606

Given numbers has no common factors except 1. So, there LCM is their product i.e 320606

Least Common Multiple of 59,26,209 with GCF Formula

Least Common Multiple of 59,26,209 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 59,26,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,26,209) = 1

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

GCF(59,26,209) x common factors =1 x 1 = 1

LCM(59,26,209) = ( 59 × 26 × 209 ) / 1

LCM(59,26,209) = 320606 / 1

LCM(59,26,209) = 320606


Lets's calculate GCF of 587,322,688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320606/1

Therefore the LCM of Fractions 59/587,26/322,209/688 is 320606

Greatest Common Factor of 587,322,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 587,322,688 By Matching Biggest Common Factor Method

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 587,322,688 . The biggest common factor number is the GCF number.
So the greatest common factor 587,322,688 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 59/587, 26/322, 209/688

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 59/587, 26/322, 209/688?

Answer: LCM of Numerators as per given numbers 59/587, 26/322, 209/688 is

LCM of Numerators i.e. for 59,26,209 is 320606

GCF of denominators i.e. for 587,322,688 is 1.

Thus, LCM of Fractions is 320606.Finally, LCM of Fractions for 59/587, 26/322, 209/688 is 320606.