Least Common Multiple of 12/160, 593/140, 802/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/160, 593/140, 802/305 quickly i.e. 2853516/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/160, 593/140, 802/305 is 2853516/5.

LCM(12/160, 593/140, 802/305) = 2853516/5

LCM of 12/160, 593/140, 802/305

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 12/160,593/140,802/305

Given numbers are 12/160,593/140,802/305

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 12,593,802

Least Common Multiple of Numerators i.e. LCM of 12,593,802 is 2853516.

GCF of Denominators means GCF of 160,140,305 as per the given fractions.

GCF of 160,140,305 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,593,802

LCM of Fractions 12/160,593/140,802/305 is 2853516/5

2 12, 593, 802
6, 593, 401

∴ So the LCM of the given numbers is 2 x 6 x 593 x 401 = 2853516

Least Common Multiple of 12,593,802 with GCF Formula

Least Common Multiple of 12,593,802 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 12,593,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,593,802) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(12,593,802) x common factors =1 x 2 = 2

LCM(12,593,802) = ( 12 × 593 × 802 ) / 2

LCM(12,593,802) = 5707032 / 2

LCM(12,593,802) = 2853516


Lets's calculate GCF of 160,140,305

5 160, 140, 305
32, 28, 61

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2853516/5

Therefore the LCM of Fractions 12/160,593/140,802/305 is 2853516/5

Greatest Common Factor of 160,140,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,140,305 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 160,140,305 . The biggest common factor number is the GCF number.
So the greatest common factor 160,140,305 is 5.


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 12/160, 593/140, 802/305

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 12/160, 593/140, 802/305?

Answer: LCM of Numerators as per given numbers 12/160, 593/140, 802/305 is

LCM of Numerators i.e. for 12,593,802 is 2853516

GCF of denominators i.e. for 160,140,305 is 5.

Thus, LCM of Fractions is 2853516/5.Finally, LCM of Fractions for 12/160, 593/140, 802/305 is 2853516/5.