Least Common Multiple of 603/59, 951/60, 576/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 603/59, 951/60, 576/75 quickly i.e. 12233664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 603/59, 951/60, 576/75 is 12233664.

LCM(603/59, 951/60, 576/75) = 12233664

LCM of 603/59, 951/60, 576/75

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 603/59,951/60,576/75

Given numbers are 603/59,951/60,576/75

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 603,951,576

Least Common Multiple of Numerators i.e. LCM of 603,951,576 is 12233664.

GCF of Denominators means GCF of 59,60,75 as per the given fractions.

GCF of 59,60,75 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 603,951,576

LCM of Fractions 603/59,951/60,576/75 is 12233664

3 603, 951, 576
3 201, 317, 192
67, 317, 64

∴ So the LCM of the given numbers is 3 x 3 x 67 x 317 x 64 = 12233664

Least Common Multiple of 603,951,576 with GCF Formula

Least Common Multiple of 603,951,576 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 603,951,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,951,576) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(603,951,576) x common factors =3 x 9 = 27

LCM(603,951,576) = ( 603 × 951 × 576 ) / 27

LCM(603,951,576) = 330308928 / 27

LCM(603,951,576) = 12233664


Lets's calculate GCF of 59,60,75

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12233664/1

Therefore the LCM of Fractions 603/59,951/60,576/75 is 12233664

Greatest Common Factor of 59,60,75 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,60,75 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 75

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

1,3,5,15,25,75

Greatest Common Factor

We found the factors 59,60,75 . The biggest common factor number is the GCF number.
So the greatest common factor 59,60,75 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 603/59, 951/60, 576/75

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 603/59, 951/60, 576/75?

Answer: LCM of Numerators as per given numbers 603/59, 951/60, 576/75 is

LCM of Numerators i.e. for 603,951,576 is 12233664

GCF of denominators i.e. for 59,60,75 is 1.

Thus, LCM of Fractions is 12233664.Finally, LCM of Fractions for 603/59, 951/60, 576/75 is 12233664.