Least Common Multiple of 85/598, 5243/5790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 85/598, 5243/5790 quickly i.e. 445655/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/598, 5243/5790 is 445655/2.

LCM(85/598, 5243/5790) = 445655/2

LCM of 85/598, 5243/5790

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 85/598,5243/5790

Given numbers are 85/598,5243/5790

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 85,5243

Least Common Multiple of Numerators i.e. LCM of 85,5243 is 445655.

GCF of Denominators means GCF of 598,5790 as per the given fractions.

GCF of 598,5790 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,5243

LCM of Fractions 85/598,5243/5790 is 445655/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 445655

Least Common Multiple of 85,5243 with GCF Formula

Least Common Multiple of 85,5243 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 85,5243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,5243) = 1

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

GCF(85,5243) x common factors =1 x 1 = 1

LCM(85,5243) = ( 85 × 5243 ) / 1

LCM(85,5243) = 445655 / 1

LCM(85,5243) = 445655


Lets's calculate GCF of 598,5790

2 598, 5790
299, 2895

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 445655/2

Therefore the LCM of Fractions 85/598,5243/5790 is 445655/2

Greatest Common Factor of 598,5790 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,5790 By Matching Biggest Common Factor Method

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 5790

List of positive integer factors of 5790 that divides 5790 without a remainder.

1,2,3,5,6,10,15,30,193,386,579,965,1158,1930,2895,5790

Greatest Common Factor

We found the factors 598,5790 . The biggest common factor number is the GCF number.
So the greatest common factor 598,5790 is 2.


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 85/598, 5243/5790

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 85/598, 5243/5790?

Answer: LCM of Numerators as per given numbers 85/598, 5243/5790 is

LCM of Numerators i.e. for 85,5243 is 445655

GCF of denominators i.e. for 598,5790 is 2.

Thus, LCM of Fractions is 445655/2.Finally, LCM of Fractions for 85/598, 5243/5790 is 445655/2.