Least Common Multiple of 565/817, 9004/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 565/817, 9004/570 quickly i.e. 5087260/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 565/817, 9004/570 is 5087260/19.

LCM(565/817, 9004/570) = 5087260/19

LCM of 565/817, 9004/570

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 565/817,9004/570

Given numbers are 565/817,9004/570

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 565,9004

Least Common Multiple of Numerators i.e. LCM of 565,9004 is 5087260.

GCF of Denominators means GCF of 817,570 as per the given fractions.

GCF of 817,570 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 565,9004

LCM of Fractions 565/817,9004/570 is 5087260/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 5087260

Least Common Multiple of 565,9004 with GCF Formula

Least Common Multiple of 565,9004 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 565,9004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,9004) = 1

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

GCF(565,9004) x common factors =1 x 1 = 1

LCM(565,9004) = ( 565 × 9004 ) / 1

LCM(565,9004) = 5087260 / 1

LCM(565,9004) = 5087260


Lets's calculate GCF of 817,570

19 817, 570
43, 30

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5087260/19

Therefore the LCM of Fractions 565/817,9004/570 is 5087260/19

Greatest Common Factor of 817,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,570 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 817,570 . The biggest common factor number is the GCF number.
So the greatest common factor 817,570 is 19.


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 565/817, 9004/570

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 565/817, 9004/570?

Answer: LCM of Numerators as per given numbers 565/817, 9004/570 is

LCM of Numerators i.e. for 565,9004 is 5087260

GCF of denominators i.e. for 817,570 is 19.

Thus, LCM of Fractions is 5087260/19.Finally, LCM of Fractions for 565/817, 9004/570 is 5087260/19.