Least Common Multiple of 505/75, 588/45, 721/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/75, 588/45, 721/478 quickly i.e. 30584820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/75, 588/45, 721/478 is 30584820.

LCM(505/75, 588/45, 721/478) = 30584820

LCM of 505/75, 588/45, 721/478

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 505/75,588/45,721/478

Given numbers are 505/75,588/45,721/478

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 505,588,721

Least Common Multiple of Numerators i.e. LCM of 505,588,721 is 30584820.

GCF of Denominators means GCF of 75,45,478 as per the given fractions.

GCF of 75,45,478 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,588,721

LCM of Fractions 505/75,588/45,721/478 is 30584820

7 505, 588, 721
505, 84, 103

∴ So the LCM of the given numbers is 7 x 505 x 84 x 103 = 30584820

Least Common Multiple of 505,588,721 with GCF Formula

Least Common Multiple of 505,588,721 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 505,588,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,588,721) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(505,588,721) x common factors =1 x 7 = 7

LCM(505,588,721) = ( 505 × 588 × 721 ) / 7

LCM(505,588,721) = 214093740 / 7

LCM(505,588,721) = 30584820


Lets's calculate GCF of 75,45,478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30584820/1

Therefore the LCM of Fractions 505/75,588/45,721/478 is 30584820

Greatest Common Factor of 75,45,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,45,478 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 75,45,478 . The biggest common factor number is the GCF number.
So the greatest common factor 75,45,478 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 505/75, 588/45, 721/478

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 505/75, 588/45, 721/478?

Answer: LCM of Numerators as per given numbers 505/75, 588/45, 721/478 is

LCM of Numerators i.e. for 505,588,721 is 30584820

GCF of denominators i.e. for 75,45,478 is 1.

Thus, LCM of Fractions is 30584820.Finally, LCM of Fractions for 505/75, 588/45, 721/478 is 30584820.