Least Common Multiple of 249/15, 301/83, 313/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 249/15, 301/83, 313/383 quickly i.e. 23459037 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 249/15, 301/83, 313/383 is 23459037.

LCM(249/15, 301/83, 313/383) = 23459037

LCM of 249/15, 301/83, 313/383

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 249/15,301/83,313/383

Given numbers are 249/15,301/83,313/383

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 249,301,313

Least Common Multiple of Numerators i.e. LCM of 249,301,313 is 23459037.

GCF of Denominators means GCF of 15,83,383 as per the given fractions.

GCF of 15,83,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 249,301,313

LCM of Fractions 249/15,301/83,313/383 is 23459037

Given numbers has no common factors except 1. So, there LCM is their product i.e 23459037

Least Common Multiple of 249,301,313 with GCF Formula

Least Common Multiple of 249,301,313 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 249,301,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,301,313) = 1

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

GCF(249,301,313) x common factors =1 x 1 = 1

LCM(249,301,313) = ( 249 × 301 × 313 ) / 1

LCM(249,301,313) = 23459037 / 1

LCM(249,301,313) = 23459037


Lets's calculate GCF of 15,83,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23459037/1

Therefore the LCM of Fractions 249/15,301/83,313/383 is 23459037

Greatest Common Factor of 15,83,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,83,383 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 15,83,383 . The biggest common factor number is the GCF number.
So the greatest common factor 15,83,383 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 249/15, 301/83, 313/383

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 249/15, 301/83, 313/383?

Answer: LCM of Numerators as per given numbers 249/15, 301/83, 313/383 is

LCM of Numerators i.e. for 249,301,313 is 23459037

GCF of denominators i.e. for 15,83,383 is 1.

Thus, LCM of Fractions is 23459037.Finally, LCM of Fractions for 249/15, 301/83, 313/383 is 23459037.