Least Common Multiple of 588/46, 103/6150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 588/46, 103/6150 quickly i.e. 30282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 588/46, 103/6150 is 30282.

LCM(588/46, 103/6150) = 30282

LCM of 588/46, 103/6150

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 588/46,103/6150

Given numbers are 588/46,103/6150

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 588,103

Least Common Multiple of Numerators i.e. LCM of 588,103 is 60564.

GCF of Denominators means GCF of 46,6150 as per the given fractions.

GCF of 46,6150 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 588,103

LCM of Fractions 588/46,103/6150 is 30282

Given numbers has no common factors except 1. So, there LCM is their product i.e 60564

Least Common Multiple of 588,103 with GCF Formula

Least Common Multiple of 588,103 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 588,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,103) = 1

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

GCF(588,103) x common factors =1 x 1 = 1

LCM(588,103) = ( 588 × 103 ) / 1

LCM(588,103) = 60564 / 1

LCM(588,103) = 60564


Lets's calculate GCF of 46,6150

2 46, 6150
23, 3075

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60564/2

Therefore the LCM of Fractions 588/46,103/6150 is 30282

Greatest Common Factor of 46,6150 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,6150 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 6150

List of positive integer factors of 6150 that divides 6150 without a remainder.

1,2,3,5,6,10,15,25,30,41,50,75,82,123,150,205,246,410,615,1025,1230,2050,3075,6150

Greatest Common Factor

We found the factors 46,6150 . The biggest common factor number is the GCF number.
So the greatest common factor 46,6150 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 588/46, 103/6150

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 588/46, 103/6150?

Answer: LCM of Numerators as per given numbers 588/46, 103/6150 is

LCM of Numerators i.e. for 588,103 is 60564

GCF of denominators i.e. for 46,6150 is 2.

Thus, LCM of Fractions is 30282.Finally, LCM of Fractions for 588/46, 103/6150 is 30282.