Least Common Multiple of 587/26, 685/3358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 587/26, 685/3358 quickly i.e. 402095/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 587/26, 685/3358 is 402095/2.

LCM(587/26, 685/3358) = 402095/2

LCM of 587/26, 685/3358

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 587/26,685/3358

Given numbers are 587/26,685/3358

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 587,685

Least Common Multiple of Numerators i.e. LCM of 587,685 is 402095.

GCF of Denominators means GCF of 26,3358 as per the given fractions.

GCF of 26,3358 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 587,685

LCM of Fractions 587/26,685/3358 is 402095/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 402095

Least Common Multiple of 587,685 with GCF Formula

Least Common Multiple of 587,685 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 587,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,685) = 1

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

GCF(587,685) x common factors =1 x 1 = 1

LCM(587,685) = ( 587 × 685 ) / 1

LCM(587,685) = 402095 / 1

LCM(587,685) = 402095


Lets's calculate GCF of 26,3358

2 26, 3358
13, 1679

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 402095/2

Therefore the LCM of Fractions 587/26,685/3358 is 402095/2

Greatest Common Factor of 26,3358 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,3358 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 3358

List of positive integer factors of 3358 that divides 3358 without a remainder.

1,2,23,46,73,146,1679,3358

Greatest Common Factor

We found the factors 26,3358 . The biggest common factor number is the GCF number.
So the greatest common factor 26,3358 is 2.


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 587/26, 685/3358

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 587/26, 685/3358?

Answer: LCM of Numerators as per given numbers 587/26, 685/3358 is

LCM of Numerators i.e. for 587,685 is 402095

GCF of denominators i.e. for 26,3358 is 2.

Thus, LCM of Fractions is 402095/2.Finally, LCM of Fractions for 587/26, 685/3358 is 402095/2.