Least Common Multiple of 105/483, 9116/8433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/483, 9116/8433 quickly i.e. 319060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/483, 9116/8433 is 319060.

LCM(105/483, 9116/8433) = 319060

LCM of 105/483, 9116/8433

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 105/483,9116/8433

Given numbers are 105/483,9116/8433

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 105,9116

Least Common Multiple of Numerators i.e. LCM of 105,9116 is 957180.

GCF of Denominators means GCF of 483,8433 as per the given fractions.

GCF of 483,8433 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,9116

LCM of Fractions 105/483,9116/8433 is 319060

Given numbers has no common factors except 1. So, there LCM is their product i.e 957180

Least Common Multiple of 105,9116 with GCF Formula

Least Common Multiple of 105,9116 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 105,9116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,9116) = 1

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

GCF(105,9116) x common factors =1 x 1 = 1

LCM(105,9116) = ( 105 × 9116 ) / 1

LCM(105,9116) = 957180 / 1

LCM(105,9116) = 957180


Lets's calculate GCF of 483,8433

3 483, 8433
161, 2811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 957180/3

Therefore the LCM of Fractions 105/483,9116/8433 is 319060

Greatest Common Factor of 483,8433 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,8433 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 8433

List of positive integer factors of 8433 that divides 8433 without a remainder.

1,3,9,937,2811,8433

Greatest Common Factor

We found the factors 483,8433 . The biggest common factor number is the GCF number.
So the greatest common factor 483,8433 is 3.


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 105/483, 9116/8433

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 105/483, 9116/8433?

Answer: LCM of Numerators as per given numbers 105/483, 9116/8433 is

LCM of Numerators i.e. for 105,9116 is 957180

GCF of denominators i.e. for 483,8433 is 3.

Thus, LCM of Fractions is 319060.Finally, LCM of Fractions for 105/483, 9116/8433 is 319060.