Least Common Multiple of 396/94, 105/8883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 396/94, 105/8883 quickly i.e. 13860/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 396/94, 105/8883 is 13860/47.

LCM(396/94, 105/8883) = 13860/47

LCM of 396/94, 105/8883

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 396/94,105/8883

Given numbers are 396/94,105/8883

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 396,105

Least Common Multiple of Numerators i.e. LCM of 396,105 is 13860.

GCF of Denominators means GCF of 94,8883 as per the given fractions.

GCF of 94,8883 is 47 as it is the largest common factor for these numbers.

Lets's calculate LCM of 396,105

LCM of Fractions 396/94,105/8883 is 13860/47

3 396, 105
132, 35

∴ So the LCM of the given numbers is 3 x 132 x 35 = 13860

Least Common Multiple of 396,105 with GCF Formula

Least Common Multiple of 396,105 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 396,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,105) = 3

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

GCF(396,105) x common factors =3 x 1 = 3

LCM(396,105) = ( 396 × 105 ) / 3

LCM(396,105) = 41580 / 3

LCM(396,105) = 13860


Lets's calculate GCF of 94,8883

47 94, 8883
2, 189

∴ So the GCF of the given numbers is 47 = 47

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13860/47

Therefore the LCM of Fractions 396/94,105/8883 is 13860/47

Greatest Common Factor of 94,8883 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,8883 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 8883

List of positive integer factors of 8883 that divides 8883 without a remainder.

1,3,7,9,21,27,47,63,141,189,329,423,987,1269,2961,8883

Greatest Common Factor

We found the factors 94,8883 . The biggest common factor number is the GCF number.
So the greatest common factor 94,8883 is 47.


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 396/94, 105/8883

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 396/94, 105/8883?

Answer: LCM of Numerators as per given numbers 396/94, 105/8883 is

LCM of Numerators i.e. for 396,105 is 13860

GCF of denominators i.e. for 94,8883 is 47.

Thus, LCM of Fractions is 13860/47.Finally, LCM of Fractions for 396/94, 105/8883 is 13860/47.