Least Common Multiple of 10/588, 8115/4983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 10/588, 8115/4983 quickly i.e. 5410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/588, 8115/4983 is 5410.

LCM(10/588, 8115/4983) = 5410

LCM of 10/588, 8115/4983

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 10/588,8115/4983

Given numbers are 10/588,8115/4983

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 10,8115

Least Common Multiple of Numerators i.e. LCM of 10,8115 is 16230.

GCF of Denominators means GCF of 588,4983 as per the given fractions.

GCF of 588,4983 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,8115

LCM of Fractions 10/588,8115/4983 is 5410

5 10, 8115
2, 1623

∴ So the LCM of the given numbers is 5 x 2 x 1623 = 16230

Least Common Multiple of 10,8115 with GCF Formula

Least Common Multiple of 10,8115 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 10,8115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,8115) = 5

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

GCF(10,8115) x common factors =5 x 1 = 5

LCM(10,8115) = ( 10 × 8115 ) / 5

LCM(10,8115) = 81150 / 5

LCM(10,8115) = 16230


Lets's calculate GCF of 588,4983

3 588, 4983
196, 1661

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16230/3

Therefore the LCM of Fractions 10/588,8115/4983 is 5410

Greatest Common Factor of 588,4983 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,4983 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 4983

List of positive integer factors of 4983 that divides 4983 without a remainder.

1,3,11,33,151,453,1661,4983

Greatest Common Factor

We found the factors 588,4983 . The biggest common factor number is the GCF number.
So the greatest common factor 588,4983 is 3.


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 10/588, 8115/4983

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 10/588, 8115/4983?

Answer: LCM of Numerators as per given numbers 10/588, 8115/4983 is

LCM of Numerators i.e. for 10,8115 is 16230

GCF of denominators i.e. for 588,4983 is 3.

Thus, LCM of Fractions is 5410.Finally, LCM of Fractions for 10/588, 8115/4983 is 5410.