Least Common Multiple of 15/483, 14/867, 491/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/483, 14/867, 491/307 quickly i.e. 103110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/483, 14/867, 491/307 is 103110.

LCM(15/483, 14/867, 491/307) = 103110

LCM of 15/483, 14/867, 491/307

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 15/483,14/867,491/307

Given numbers are 15/483,14/867,491/307

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 15,14,491

Least Common Multiple of Numerators i.e. LCM of 15,14,491 is 103110.

GCF of Denominators means GCF of 483,867,307 as per the given fractions.

GCF of 483,867,307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,14,491

LCM of Fractions 15/483,14/867,491/307 is 103110

Given numbers has no common factors except 1. So, there LCM is their product i.e 103110

Least Common Multiple of 15,14,491 with GCF Formula

Least Common Multiple of 15,14,491 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 15,14,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,14,491) = 1

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

GCF(15,14,491) x common factors =1 x 1 = 1

LCM(15,14,491) = ( 15 × 14 × 491 ) / 1

LCM(15,14,491) = 103110 / 1

LCM(15,14,491) = 103110


Lets's calculate GCF of 483,867,307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103110/1

Therefore the LCM of Fractions 15/483,14/867,491/307 is 103110

Greatest Common Factor of 483,867,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,867,307 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 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 483,867,307 . The biggest common factor number is the GCF number.
So the greatest common factor 483,867,307 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 15/483, 14/867, 491/307

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 15/483, 14/867, 491/307?

Answer: LCM of Numerators as per given numbers 15/483, 14/867, 491/307 is

LCM of Numerators i.e. for 15,14,491 is 103110

GCF of denominators i.e. for 483,867,307 is 1.

Thus, LCM of Fractions is 103110.Finally, LCM of Fractions for 15/483, 14/867, 491/307 is 103110.