Least Common Multiple of 589/48, 6498/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 589/48, 6498/827 quickly i.e. 201438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/48, 6498/827 is 201438.

LCM(589/48, 6498/827) = 201438

LCM of 589/48, 6498/827

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 589/48,6498/827

Given numbers are 589/48,6498/827

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 589,6498

Least Common Multiple of Numerators i.e. LCM of 589,6498 is 201438.

GCF of Denominators means GCF of 48,827 as per the given fractions.

GCF of 48,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,6498

LCM of Fractions 589/48,6498/827 is 201438

19 589, 6498
31, 342

∴ So the LCM of the given numbers is 19 x 31 x 342 = 201438

Least Common Multiple of 589,6498 with GCF Formula

Least Common Multiple of 589,6498 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 589,6498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,6498) = 19

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

GCF(589,6498) x common factors =19 x 1 = 19

LCM(589,6498) = ( 589 × 6498 ) / 19

LCM(589,6498) = 3827322 / 19

LCM(589,6498) = 201438


Lets's calculate GCF of 48,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201438/1

Therefore the LCM of Fractions 589/48,6498/827 is 201438

Greatest Common Factor of 48,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,827 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 48,827 . The biggest common factor number is the GCF number.
So the greatest common factor 48,827 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 589/48, 6498/827

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 589/48, 6498/827?

Answer: LCM of Numerators as per given numbers 589/48, 6498/827 is

LCM of Numerators i.e. for 589,6498 is 201438

GCF of denominators i.e. for 48,827 is 1.

Thus, LCM of Fractions is 201438.Finally, LCM of Fractions for 589/48, 6498/827 is 201438.