Least Common Multiple of 4696/123, 8105/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4696/123, 8105/330 quickly i.e. 38061080/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4696/123, 8105/330 is 38061080/3.

LCM(4696/123, 8105/330) = 38061080/3

LCM of 4696/123, 8105/330

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 4696/123,8105/330

Given numbers are 4696/123,8105/330

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 4696,8105

Least Common Multiple of Numerators i.e. LCM of 4696,8105 is 38061080.

GCF of Denominators means GCF of 123,330 as per the given fractions.

GCF of 123,330 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4696,8105

LCM of Fractions 4696/123,8105/330 is 38061080/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 38061080

Least Common Multiple of 4696,8105 with GCF Formula

Least Common Multiple of 4696,8105 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 4696,8105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4696,8105) = 1

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

GCF(4696,8105) x common factors =1 x 1 = 1

LCM(4696,8105) = ( 4696 × 8105 ) / 1

LCM(4696,8105) = 38061080 / 1

LCM(4696,8105) = 38061080


Lets's calculate GCF of 123,330

3 123, 330
41, 110

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38061080/3

Therefore the LCM of Fractions 4696/123,8105/330 is 38061080/3

Greatest Common Factor of 123,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,330 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 123,330 . The biggest common factor number is the GCF number.
So the greatest common factor 123,330 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4696/123, 8105/330

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 4696/123, 8105/330?

Answer: LCM of Numerators as per given numbers 4696/123, 8105/330 is

LCM of Numerators i.e. for 4696,8105 is 38061080

GCF of denominators i.e. for 123,330 is 3.

Thus, LCM of Fractions is 38061080/3.Finally, LCM of Fractions for 4696/123, 8105/330 is 38061080/3.