Least Common Multiple of 5987/365, 5577/4566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5987/365, 5577/4566 quickly i.e. 33389499 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5987/365, 5577/4566 is 33389499.

LCM(5987/365, 5577/4566) = 33389499

LCM of 5987/365, 5577/4566

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 5987/365,5577/4566

Given numbers are 5987/365,5577/4566

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 5987,5577

Least Common Multiple of Numerators i.e. LCM of 5987,5577 is 33389499.

GCF of Denominators means GCF of 365,4566 as per the given fractions.

GCF of 365,4566 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5987,5577

LCM of Fractions 5987/365,5577/4566 is 33389499

Given numbers has no common factors except 1. So, there LCM is their product i.e 33389499

Least Common Multiple of 5987,5577 with GCF Formula

Least Common Multiple of 5987,5577 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 5987,5577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5987,5577) = 1

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

GCF(5987,5577) x common factors =1 x 1 = 1

LCM(5987,5577) = ( 5987 × 5577 ) / 1

LCM(5987,5577) = 33389499 / 1

LCM(5987,5577) = 33389499


Lets's calculate GCF of 365,4566

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33389499/1

Therefore the LCM of Fractions 5987/365,5577/4566 is 33389499

Greatest Common Factor of 365,4566 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,4566 By Matching Biggest Common Factor Method

Factors of 365

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

1,5,73,365

Factors of 4566

List of positive integer factors of 4566 that divides 4566 without a remainder.

1,2,3,6,761,1522,2283,4566

Greatest Common Factor

We found the factors 365,4566 . The biggest common factor number is the GCF number.
So the greatest common factor 365,4566 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 5987/365, 5577/4566

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 5987/365, 5577/4566?

Answer: LCM of Numerators as per given numbers 5987/365, 5577/4566 is

LCM of Numerators i.e. for 5987,5577 is 33389499

GCF of denominators i.e. for 365,4566 is 1.

Thus, LCM of Fractions is 33389499.Finally, LCM of Fractions for 5987/365, 5577/4566 is 33389499.