Least Common Multiple of 566/513, 1763/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 566/513, 1763/648 quickly i.e. 997858/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 566/513, 1763/648 is 997858/27.

LCM(566/513, 1763/648) = 997858/27

LCM of 566/513, 1763/648

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 566/513,1763/648

Given numbers are 566/513,1763/648

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 566,1763

Least Common Multiple of Numerators i.e. LCM of 566,1763 is 997858.

GCF of Denominators means GCF of 513,648 as per the given fractions.

GCF of 513,648 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 566,1763

LCM of Fractions 566/513,1763/648 is 997858/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 997858

Least Common Multiple of 566,1763 with GCF Formula

Least Common Multiple of 566,1763 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 566,1763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,1763) = 1

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

GCF(566,1763) x common factors =1 x 1 = 1

LCM(566,1763) = ( 566 × 1763 ) / 1

LCM(566,1763) = 997858 / 1

LCM(566,1763) = 997858


Lets's calculate GCF of 513,648

3 513, 648
3 171, 216
3 57, 72
19, 24

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 997858/27

Therefore the LCM of Fractions 566/513,1763/648 is 997858/27

Greatest Common Factor of 513,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,648 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 513,648 . The biggest common factor number is the GCF number.
So the greatest common factor 513,648 is 27.


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 566/513, 1763/648

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 566/513, 1763/648?

Answer: LCM of Numerators as per given numbers 566/513, 1763/648 is

LCM of Numerators i.e. for 566,1763 is 997858

GCF of denominators i.e. for 513,648 is 27.

Thus, LCM of Fractions is 997858/27.Finally, LCM of Fractions for 566/513, 1763/648 is 997858/27.