Least Common Multiple of 17/21, 98/96, 966/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/21, 98/96, 966/807 quickly i.e. 38318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/21, 98/96, 966/807 is 38318.

LCM(17/21, 98/96, 966/807) = 38318

LCM of 17/21, 98/96, 966/807

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 17/21,98/96,966/807

Given numbers are 17/21,98/96,966/807

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 17,98,966

Least Common Multiple of Numerators i.e. LCM of 17,98,966 is 114954.

GCF of Denominators means GCF of 21,96,807 as per the given fractions.

GCF of 21,96,807 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,98,966

LCM of Fractions 17/21,98/96,966/807 is 38318

2 17, 98, 966
7 17, 49, 483
17, 7, 69

∴ So the LCM of the given numbers is 2 x 7 x 17 x 7 x 69 = 114954

Least Common Multiple of 17,98,966 with GCF Formula

Least Common Multiple of 17,98,966 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 17,98,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,98,966) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(17,98,966) x common factors =1 x 14 = 14

LCM(17,98,966) = ( 17 × 98 × 966 ) / 14

LCM(17,98,966) = 1609356 / 14

LCM(17,98,966) = 114954


Lets's calculate GCF of 21,96,807

3 21, 96, 807
7, 32, 269

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114954/3

Therefore the LCM of Fractions 17/21,98/96,966/807 is 38318

Greatest Common Factor of 21,96,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,96,807 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

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 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 21,96,807 . The biggest common factor number is the GCF number.
So the greatest common factor 21,96,807 is 3.


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 17/21, 98/96, 966/807

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 17/21, 98/96, 966/807?

Answer: LCM of Numerators as per given numbers 17/21, 98/96, 966/807 is

LCM of Numerators i.e. for 17,98,966 is 114954

GCF of denominators i.e. for 21,96,807 is 3.

Thus, LCM of Fractions is 38318.Finally, LCM of Fractions for 17/21, 98/96, 966/807 is 38318.