Least Common Multiple of 47/563, 44/289, 306/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/563, 44/289, 306/152 quickly i.e. 316404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/563, 44/289, 306/152 is 316404.

LCM(47/563, 44/289, 306/152) = 316404

LCM of 47/563, 44/289, 306/152

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 47/563,44/289,306/152

Given numbers are 47/563,44/289,306/152

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 47,44,306

Least Common Multiple of Numerators i.e. LCM of 47,44,306 is 316404.

GCF of Denominators means GCF of 563,289,152 as per the given fractions.

GCF of 563,289,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,44,306

LCM of Fractions 47/563,44/289,306/152 is 316404

2 47, 44, 306
47, 22, 153

∴ So the LCM of the given numbers is 2 x 47 x 22 x 153 = 316404

Least Common Multiple of 47,44,306 with GCF Formula

Least Common Multiple of 47,44,306 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 47,44,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,44,306) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(47,44,306) x common factors =1 x 2 = 2

LCM(47,44,306) = ( 47 × 44 × 306 ) / 2

LCM(47,44,306) = 632808 / 2

LCM(47,44,306) = 316404


Lets's calculate GCF of 563,289,152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316404/1

Therefore the LCM of Fractions 47/563,44/289,306/152 is 316404

Greatest Common Factor of 563,289,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 563,289,152 By Matching Biggest Common Factor Method

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 289

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

1,17,289

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 563,289,152 . The biggest common factor number is the GCF number.
So the greatest common factor 563,289,152 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 47/563, 44/289, 306/152

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 47/563, 44/289, 306/152?

Answer: LCM of Numerators as per given numbers 47/563, 44/289, 306/152 is

LCM of Numerators i.e. for 47,44,306 is 316404

GCF of denominators i.e. for 563,289,152 is 1.

Thus, LCM of Fractions is 316404.Finally, LCM of Fractions for 47/563, 44/289, 306/152 is 316404.