Least Common Multiple of 31/503, 9383/1590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/503, 9383/1590 quickly i.e. 290873 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/503, 9383/1590 is 290873.

LCM(31/503, 9383/1590) = 290873

LCM of 31/503, 9383/1590

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 31/503,9383/1590

Given numbers are 31/503,9383/1590

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 31,9383

Least Common Multiple of Numerators i.e. LCM of 31,9383 is 290873.

GCF of Denominators means GCF of 503,1590 as per the given fractions.

GCF of 503,1590 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,9383

LCM of Fractions 31/503,9383/1590 is 290873

Given numbers has no common factors except 1. So, there LCM is their product i.e 290873

Least Common Multiple of 31,9383 with GCF Formula

Least Common Multiple of 31,9383 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 31,9383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,9383) = 1

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

GCF(31,9383) x common factors =1 x 1 = 1

LCM(31,9383) = ( 31 × 9383 ) / 1

LCM(31,9383) = 290873 / 1

LCM(31,9383) = 290873


Lets's calculate GCF of 503,1590

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290873/1

Therefore the LCM of Fractions 31/503,9383/1590 is 290873

Greatest Common Factor of 503,1590 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,1590 By Matching Biggest Common Factor Method

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 1590

List of positive integer factors of 1590 that divides 1590 without a remainder.

1,2,3,5,6,10,15,30,53,106,159,265,318,530,795,1590

Greatest Common Factor

We found the factors 503,1590 . The biggest common factor number is the GCF number.
So the greatest common factor 503,1590 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 31/503, 9383/1590

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 31/503, 9383/1590?

Answer: LCM of Numerators as per given numbers 31/503, 9383/1590 is

LCM of Numerators i.e. for 31,9383 is 290873

GCF of denominators i.e. for 503,1590 is 1.

Thus, LCM of Fractions is 290873.Finally, LCM of Fractions for 31/503, 9383/1590 is 290873.