Least Common Multiple of 564/73, 530/16, 759/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/73, 530/16, 759/289 quickly i.e. 37813380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/73, 530/16, 759/289 is 37813380.

LCM(564/73, 530/16, 759/289) = 37813380

LCM of 564/73, 530/16, 759/289

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 564/73,530/16,759/289

Given numbers are 564/73,530/16,759/289

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 564,530,759

Least Common Multiple of Numerators i.e. LCM of 564,530,759 is 37813380.

GCF of Denominators means GCF of 73,16,289 as per the given fractions.

GCF of 73,16,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,530,759

LCM of Fractions 564/73,530/16,759/289 is 37813380

2 564, 530, 759
3 282, 265, 759
94, 265, 253

∴ So the LCM of the given numbers is 2 x 3 x 94 x 265 x 253 = 37813380

Least Common Multiple of 564,530,759 with GCF Formula

Least Common Multiple of 564,530,759 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 564,530,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,530,759) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(564,530,759) x common factors =1 x 6 = 6

LCM(564,530,759) = ( 564 × 530 × 759 ) / 6

LCM(564,530,759) = 226880280 / 6

LCM(564,530,759) = 37813380


Lets's calculate GCF of 73,16,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37813380/1

Therefore the LCM of Fractions 564/73,530/16,759/289 is 37813380

Greatest Common Factor of 73,16,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,16,289 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 73,16,289 . The biggest common factor number is the GCF number.
So the greatest common factor 73,16,289 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 564/73, 530/16, 759/289

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 564/73, 530/16, 759/289?

Answer: LCM of Numerators as per given numbers 564/73, 530/16, 759/289 is

LCM of Numerators i.e. for 564,530,759 is 37813380

GCF of denominators i.e. for 73,16,289 is 1.

Thus, LCM of Fractions is 37813380.Finally, LCM of Fractions for 564/73, 530/16, 759/289 is 37813380.