Least Common Multiple of 659/18, 418/5284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 659/18, 418/5284 quickly i.e. 137731 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 659/18, 418/5284 is 137731.

LCM(659/18, 418/5284) = 137731

LCM of 659/18, 418/5284

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 659/18,418/5284

Given numbers are 659/18,418/5284

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 659,418

Least Common Multiple of Numerators i.e. LCM of 659,418 is 275462.

GCF of Denominators means GCF of 18,5284 as per the given fractions.

GCF of 18,5284 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 659,418

LCM of Fractions 659/18,418/5284 is 137731

Given numbers has no common factors except 1. So, there LCM is their product i.e 275462

Least Common Multiple of 659,418 with GCF Formula

Least Common Multiple of 659,418 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 659,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,418) = 1

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

GCF(659,418) x common factors =1 x 1 = 1

LCM(659,418) = ( 659 × 418 ) / 1

LCM(659,418) = 275462 / 1

LCM(659,418) = 275462


Lets's calculate GCF of 18,5284

2 18, 5284
9, 2642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275462/2

Therefore the LCM of Fractions 659/18,418/5284 is 137731

Greatest Common Factor of 18,5284 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,5284 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 5284

List of positive integer factors of 5284 that divides 5284 without a remainder.

1,2,4,1321,2642,5284

Greatest Common Factor

We found the factors 18,5284 . The biggest common factor number is the GCF number.
So the greatest common factor 18,5284 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 659/18, 418/5284

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 659/18, 418/5284?

Answer: LCM of Numerators as per given numbers 659/18, 418/5284 is

LCM of Numerators i.e. for 659,418 is 275462

GCF of denominators i.e. for 18,5284 is 2.

Thus, LCM of Fractions is 137731.Finally, LCM of Fractions for 659/18, 418/5284 is 137731.