Least Common Multiple of 563/15, 582/4966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 563/15, 582/4966 quickly i.e. 327666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 563/15, 582/4966 is 327666.

LCM(563/15, 582/4966) = 327666

LCM of 563/15, 582/4966

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 563/15,582/4966

Given numbers are 563/15,582/4966

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 563,582

Least Common Multiple of Numerators i.e. LCM of 563,582 is 327666.

GCF of Denominators means GCF of 15,4966 as per the given fractions.

GCF of 15,4966 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 563,582

LCM of Fractions 563/15,582/4966 is 327666

Given numbers has no common factors except 1. So, there LCM is their product i.e 327666

Least Common Multiple of 563,582 with GCF Formula

Least Common Multiple of 563,582 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 563,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,582) = 1

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

GCF(563,582) x common factors =1 x 1 = 1

LCM(563,582) = ( 563 × 582 ) / 1

LCM(563,582) = 327666 / 1

LCM(563,582) = 327666


Lets's calculate GCF of 15,4966

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327666/1

Therefore the LCM of Fractions 563/15,582/4966 is 327666

Greatest Common Factor of 15,4966 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,4966 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 4966

List of positive integer factors of 4966 that divides 4966 without a remainder.

1,2,13,26,191,382,2483,4966

Greatest Common Factor

We found the factors 15,4966 . The biggest common factor number is the GCF number.
So the greatest common factor 15,4966 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 563/15, 582/4966

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 563/15, 582/4966?

Answer: LCM of Numerators as per given numbers 563/15, 582/4966 is

LCM of Numerators i.e. for 563,582 is 327666

GCF of denominators i.e. for 15,4966 is 1.

Thus, LCM of Fractions is 327666.Finally, LCM of Fractions for 563/15, 582/4966 is 327666.