Least Common Multiple of 590/46, 590/12, 642/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 590/46, 590/12, 642/789 quickly i.e. 189390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 590/46, 590/12, 642/789 is 189390.

LCM(590/46, 590/12, 642/789) = 189390

LCM of 590/46, 590/12, 642/789

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 590/46,590/12,642/789

Given numbers are 590/46,590/12,642/789

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 590,590,642

Least Common Multiple of Numerators i.e. LCM of 590,590,642 is 189390.

GCF of Denominators means GCF of 46,12,789 as per the given fractions.

GCF of 46,12,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 590,590,642

LCM of Fractions 590/46,590/12,642/789 is 189390

2 590, 590, 642
5 295, 295, 321
59 59, 59, 321
1, 1, 321

∴ So the LCM of the given numbers is 2 x 5 x 59 x 1 x 1 x 321 = 189390

Least Common Multiple of 590,590,642 with GCF Formula

Least Common Multiple of 590,590,642 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 590,590,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,590,642) = 2

common factors(in case of two or more numbers have common factors) = 590

GCF(590,590,642) x common factors =2 x 590 = 1180

LCM(590,590,642) = ( 590 × 590 × 642 ) / 1180

LCM(590,590,642) = 223480200 / 1180

LCM(590,590,642) = 189390


Lets's calculate GCF of 46,12,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189390/1

Therefore the LCM of Fractions 590/46,590/12,642/789 is 189390

Greatest Common Factor of 46,12,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,12,789 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 46,12,789 . The biggest common factor number is the GCF number.
So the greatest common factor 46,12,789 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 590/46, 590/12, 642/789

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 590/46, 590/12, 642/789?

Answer: LCM of Numerators as per given numbers 590/46, 590/12, 642/789 is

LCM of Numerators i.e. for 590,590,642 is 189390

GCF of denominators i.e. for 46,12,789 is 1.

Thus, LCM of Fractions is 189390.Finally, LCM of Fractions for 590/46, 590/12, 642/789 is 189390.