Least Common Multiple of 17/96, 306/78, 260/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/96, 306/78, 260/160 quickly i.e. 19890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/96, 306/78, 260/160 is 19890.

LCM(17/96, 306/78, 260/160) = 19890

LCM of 17/96, 306/78, 260/160

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 17/96,306/78,260/160

Given numbers are 17/96,306/78,260/160

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 17,306,260

Least Common Multiple of Numerators i.e. LCM of 17,306,260 is 39780.

GCF of Denominators means GCF of 96,78,160 as per the given fractions.

GCF of 96,78,160 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,306,260

LCM of Fractions 17/96,306/78,260/160 is 19890

2 17, 306, 260
17 17, 153, 130
1, 9, 130

∴ So the LCM of the given numbers is 2 x 17 x 1 x 9 x 130 = 39780

Least Common Multiple of 17,306,260 with GCF Formula

Least Common Multiple of 17,306,260 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 17,306,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,306,260) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(17,306,260) x common factors =1 x 34 = 34

LCM(17,306,260) = ( 17 × 306 × 260 ) / 34

LCM(17,306,260) = 1352520 / 34

LCM(17,306,260) = 39780


Lets's calculate GCF of 96,78,160

2 96, 78, 160
48, 39, 80

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39780/2

Therefore the LCM of Fractions 17/96,306/78,260/160 is 19890

Greatest Common Factor of 96,78,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,78,160 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

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

Greatest Common Factor

We found the factors 96,78,160 . The biggest common factor number is the GCF number.
So the greatest common factor 96,78,160 is 2.


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 17/96, 306/78, 260/160

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 17/96, 306/78, 260/160?

Answer: LCM of Numerators as per given numbers 17/96, 306/78, 260/160 is

LCM of Numerators i.e. for 17,306,260 is 39780

GCF of denominators i.e. for 96,78,160 is 2.

Thus, LCM of Fractions is 19890.Finally, LCM of Fractions for 17/96, 306/78, 260/160 is 19890.