Least Common Multiple of 589/244, 518/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 589/244, 518/859 quickly i.e. 305102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/244, 518/859 is 305102.

LCM(589/244, 518/859) = 305102

LCM of 589/244, 518/859

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 589/244,518/859

Given numbers are 589/244,518/859

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 589,518

Least Common Multiple of Numerators i.e. LCM of 589,518 is 305102.

GCF of Denominators means GCF of 244,859 as per the given fractions.

GCF of 244,859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,518

LCM of Fractions 589/244,518/859 is 305102

Given numbers has no common factors except 1. So, there LCM is their product i.e 305102

Least Common Multiple of 589,518 with GCF Formula

Least Common Multiple of 589,518 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 589,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,518) = 1

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

GCF(589,518) x common factors =1 x 1 = 1

LCM(589,518) = ( 589 × 518 ) / 1

LCM(589,518) = 305102 / 1

LCM(589,518) = 305102


Lets's calculate GCF of 244,859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305102/1

Therefore the LCM of Fractions 589/244,518/859 is 305102

Greatest Common Factor of 244,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 244,859 By Matching Biggest Common Factor Method

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 244,859 . The biggest common factor number is the GCF number.
So the greatest common factor 244,859 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 589/244, 518/859

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 589/244, 518/859?

Answer: LCM of Numerators as per given numbers 589/244, 518/859 is

LCM of Numerators i.e. for 589,518 is 305102

GCF of denominators i.e. for 244,859 is 1.

Thus, LCM of Fractions is 305102.Finally, LCM of Fractions for 589/244, 518/859 is 305102.