Least Common Multiple of 583/553, 3103/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 583/553, 3103/365 quickly i.e. 1809049 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 583/553, 3103/365 is 1809049.

LCM(583/553, 3103/365) = 1809049

LCM of 583/553, 3103/365

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 583/553,3103/365

Given numbers are 583/553,3103/365

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 583,3103

Least Common Multiple of Numerators i.e. LCM of 583,3103 is 1809049.

GCF of Denominators means GCF of 553,365 as per the given fractions.

GCF of 553,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 583,3103

LCM of Fractions 583/553,3103/365 is 1809049

Given numbers has no common factors except 1. So, there LCM is their product i.e 1809049

Least Common Multiple of 583,3103 with GCF Formula

Least Common Multiple of 583,3103 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 583,3103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,3103) = 1

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

GCF(583,3103) x common factors =1 x 1 = 1

LCM(583,3103) = ( 583 × 3103 ) / 1

LCM(583,3103) = 1809049 / 1

LCM(583,3103) = 1809049


Lets's calculate GCF of 553,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1809049/1

Therefore the LCM of Fractions 583/553,3103/365 is 1809049

Greatest Common Factor of 553,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,365 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 553,365 . The biggest common factor number is the GCF number.
So the greatest common factor 553,365 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 583/553, 3103/365

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 583/553, 3103/365?

Answer: LCM of Numerators as per given numbers 583/553, 3103/365 is

LCM of Numerators i.e. for 583,3103 is 1809049

GCF of denominators i.e. for 553,365 is 1.

Thus, LCM of Fractions is 1809049.Finally, LCM of Fractions for 583/553, 3103/365 is 1809049.