Least Common Multiple of 591/45, 642/1032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 591/45, 642/1032 quickly i.e. 42158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 591/45, 642/1032 is 42158.

LCM(591/45, 642/1032) = 42158

LCM of 591/45, 642/1032

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 591/45,642/1032

Given numbers are 591/45,642/1032

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 591,642

Least Common Multiple of Numerators i.e. LCM of 591,642 is 126474.

GCF of Denominators means GCF of 45,1032 as per the given fractions.

GCF of 45,1032 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 591,642

LCM of Fractions 591/45,642/1032 is 42158

3 591, 642
197, 214

∴ So the LCM of the given numbers is 3 x 197 x 214 = 126474

Least Common Multiple of 591,642 with GCF Formula

Least Common Multiple of 591,642 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 591,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,642) = 3

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

GCF(591,642) x common factors =3 x 1 = 3

LCM(591,642) = ( 591 × 642 ) / 3

LCM(591,642) = 379422 / 3

LCM(591,642) = 126474


Lets's calculate GCF of 45,1032

3 45, 1032
15, 344

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126474/3

Therefore the LCM of Fractions 591/45,642/1032 is 42158

Greatest Common Factor of 45,1032 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,1032 By Matching Biggest Common Factor Method

Factors of 45

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

1,3,5,9,15,45

Factors of 1032

List of positive integer factors of 1032 that divides 1032 without a remainder.

1,2,3,4,6,8,12,24,43,86,129,172,258,344,516,1032

Greatest Common Factor

We found the factors 45,1032 . The biggest common factor number is the GCF number.
So the greatest common factor 45,1032 is 3.


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 591/45, 642/1032

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 591/45, 642/1032?

Answer: LCM of Numerators as per given numbers 591/45, 642/1032 is

LCM of Numerators i.e. for 591,642 is 126474

GCF of denominators i.e. for 45,1032 is 3.

Thus, LCM of Fractions is 42158.Finally, LCM of Fractions for 591/45, 642/1032 is 42158.