Least Common Multiple of 17/17, 95/81, 419/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/17, 95/81, 419/96 quickly i.e. 676685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/17, 95/81, 419/96 is 676685.

LCM(17/17, 95/81, 419/96) = 676685

LCM of 17/17, 95/81, 419/96

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 17/17,95/81,419/96

Given numbers are 17/17,95/81,419/96

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 17,95,419

Least Common Multiple of Numerators i.e. LCM of 17,95,419 is 676685.

GCF of Denominators means GCF of 17,81,96 as per the given fractions.

GCF of 17,81,96 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,95,419

LCM of Fractions 17/17,95/81,419/96 is 676685

Given numbers has no common factors except 1. So, there LCM is their product i.e 676685

Least Common Multiple of 17,95,419 with GCF Formula

Least Common Multiple of 17,95,419 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 17,95,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,95,419) = 1

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

GCF(17,95,419) x common factors =1 x 1 = 1

LCM(17,95,419) = ( 17 × 95 × 419 ) / 1

LCM(17,95,419) = 676685 / 1

LCM(17,95,419) = 676685


Lets's calculate GCF of 17,81,96

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 676685/1

Therefore the LCM of Fractions 17/17,95/81,419/96 is 676685

Greatest Common Factor of 17,81,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,81,96 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

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

Greatest Common Factor

We found the factors 17,81,96 . The biggest common factor number is the GCF number.
So the greatest common factor 17,81,96 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 17/17, 95/81, 419/96

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 17/17, 95/81, 419/96?

Answer: LCM of Numerators as per given numbers 17/17, 95/81, 419/96 is

LCM of Numerators i.e. for 17,95,419 is 676685

GCF of denominators i.e. for 17,81,96 is 1.

Thus, LCM of Fractions is 676685.Finally, LCM of Fractions for 17/17, 95/81, 419/96 is 676685.