Least Common Multiple of 109/12, 405/35, 160/593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 109/12, 405/35, 160/593 quickly i.e. 1412640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 109/12, 405/35, 160/593 is 1412640.

LCM(109/12, 405/35, 160/593) = 1412640

LCM of 109/12, 405/35, 160/593

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 109/12,405/35,160/593

Given numbers are 109/12,405/35,160/593

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 109,405,160

Least Common Multiple of Numerators i.e. LCM of 109,405,160 is 1412640.

GCF of Denominators means GCF of 12,35,593 as per the given fractions.

GCF of 12,35,593 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 109,405,160

LCM of Fractions 109/12,405/35,160/593 is 1412640

5 109, 405, 160
109, 81, 32

∴ So the LCM of the given numbers is 5 x 109 x 81 x 32 = 1412640

Least Common Multiple of 109,405,160 with GCF Formula

Least Common Multiple of 109,405,160 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 109,405,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,405,160) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(109,405,160) x common factors =1 x 5 = 5

LCM(109,405,160) = ( 109 × 405 × 160 ) / 5

LCM(109,405,160) = 7063200 / 5

LCM(109,405,160) = 1412640


Lets's calculate GCF of 12,35,593

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1412640/1

Therefore the LCM of Fractions 109/12,405/35,160/593 is 1412640

Greatest Common Factor of 12,35,593 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,35,593 By Matching Biggest Common Factor Method

Factors of 12

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

1,2,3,4,6,12

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Greatest Common Factor

We found the factors 12,35,593 . The biggest common factor number is the GCF number.
So the greatest common factor 12,35,593 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 109/12, 405/35, 160/593

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 109/12, 405/35, 160/593?

Answer: LCM of Numerators as per given numbers 109/12, 405/35, 160/593 is

LCM of Numerators i.e. for 109,405,160 is 1412640

GCF of denominators i.e. for 12,35,593 is 1.

Thus, LCM of Fractions is 1412640.Finally, LCM of Fractions for 109/12, 405/35, 160/593 is 1412640.