Least Common Multiple of 23/503, 5383/3040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/503, 5383/3040 quickly i.e. 123809 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/503, 5383/3040 is 123809.

LCM(23/503, 5383/3040) = 123809

LCM of 23/503, 5383/3040

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 23/503,5383/3040

Given numbers are 23/503,5383/3040

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 23,5383

Least Common Multiple of Numerators i.e. LCM of 23,5383 is 123809.

GCF of Denominators means GCF of 503,3040 as per the given fractions.

GCF of 503,3040 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,5383

LCM of Fractions 23/503,5383/3040 is 123809

Given numbers has no common factors except 1. So, there LCM is their product i.e 123809

Least Common Multiple of 23,5383 with GCF Formula

Least Common Multiple of 23,5383 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 23,5383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,5383) = 1

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

GCF(23,5383) x common factors =1 x 1 = 1

LCM(23,5383) = ( 23 × 5383 ) / 1

LCM(23,5383) = 123809 / 1

LCM(23,5383) = 123809


Lets's calculate GCF of 503,3040

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123809/1

Therefore the LCM of Fractions 23/503,5383/3040 is 123809

Greatest Common Factor of 503,3040 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,3040 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 3040

List of positive integer factors of 3040 that divides 3040 without a remainder.

1,2,4,5,8,10,16,19,20,32,38,40,76,80,95,152,160,190,304,380,608,760,1520,3040

Greatest Common Factor

We found the factors 503,3040 . The biggest common factor number is the GCF number.
So the greatest common factor 503,3040 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 23/503, 5383/3040

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 23/503, 5383/3040?

Answer: LCM of Numerators as per given numbers 23/503, 5383/3040 is

LCM of Numerators i.e. for 23,5383 is 123809

GCF of denominators i.e. for 503,3040 is 1.

Thus, LCM of Fractions is 123809.Finally, LCM of Fractions for 23/503, 5383/3040 is 123809.