Least Common Multiple of 3242/470, 8617/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3242/470, 8617/483 quickly i.e. 27936314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3242/470, 8617/483 is 27936314.

LCM(3242/470, 8617/483) = 27936314

LCM of 3242/470, 8617/483

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 3242/470,8617/483

Given numbers are 3242/470,8617/483

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 3242,8617

Least Common Multiple of Numerators i.e. LCM of 3242,8617 is 27936314.

GCF of Denominators means GCF of 470,483 as per the given fractions.

GCF of 470,483 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3242,8617

LCM of Fractions 3242/470,8617/483 is 27936314

Given numbers has no common factors except 1. So, there LCM is their product i.e 27936314

Least Common Multiple of 3242,8617 with GCF Formula

Least Common Multiple of 3242,8617 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 3242,8617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3242,8617) = 1

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

GCF(3242,8617) x common factors =1 x 1 = 1

LCM(3242,8617) = ( 3242 × 8617 ) / 1

LCM(3242,8617) = 27936314 / 1

LCM(3242,8617) = 27936314


Lets's calculate GCF of 470,483

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27936314/1

Therefore the LCM of Fractions 3242/470,8617/483 is 27936314

Greatest Common Factor of 470,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,483 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 483

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

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

Greatest Common Factor

We found the factors 470,483 . The biggest common factor number is the GCF number.
So the greatest common factor 470,483 is 1.


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 3242/470, 8617/483

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 3242/470, 8617/483?

Answer: LCM of Numerators as per given numbers 3242/470, 8617/483 is

LCM of Numerators i.e. for 3242,8617 is 27936314

GCF of denominators i.e. for 470,483 is 1.

Thus, LCM of Fractions is 27936314.Finally, LCM of Fractions for 3242/470, 8617/483 is 27936314.