Least Common Multiple of 103/10, 812/4638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 103/10, 812/4638 quickly i.e. 41818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 103/10, 812/4638 is 41818.

LCM(103/10, 812/4638) = 41818

LCM of 103/10, 812/4638

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 103/10,812/4638

Given numbers are 103/10,812/4638

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 103,812

Least Common Multiple of Numerators i.e. LCM of 103,812 is 83636.

GCF of Denominators means GCF of 10,4638 as per the given fractions.

GCF of 10,4638 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 103,812

LCM of Fractions 103/10,812/4638 is 41818

Given numbers has no common factors except 1. So, there LCM is their product i.e 83636

Least Common Multiple of 103,812 with GCF Formula

Least Common Multiple of 103,812 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 103,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,812) = 1

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

GCF(103,812) x common factors =1 x 1 = 1

LCM(103,812) = ( 103 × 812 ) / 1

LCM(103,812) = 83636 / 1

LCM(103,812) = 83636


Lets's calculate GCF of 10,4638

2 10, 4638
5, 2319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83636/2

Therefore the LCM of Fractions 103/10,812/4638 is 41818

Greatest Common Factor of 10,4638 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,4638 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 4638

List of positive integer factors of 4638 that divides 4638 without a remainder.

1,2,3,6,773,1546,2319,4638

Greatest Common Factor

We found the factors 10,4638 . The biggest common factor number is the GCF number.
So the greatest common factor 10,4638 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 103/10, 812/4638

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 103/10, 812/4638?

Answer: LCM of Numerators as per given numbers 103/10, 812/4638 is

LCM of Numerators i.e. for 103,812 is 83636

GCF of denominators i.e. for 10,4638 is 2.

Thus, LCM of Fractions is 41818.Finally, LCM of Fractions for 103/10, 812/4638 is 41818.