Least Common Multiple of 17/802, 9192/1318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/802, 9192/1318 quickly i.e. 78132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/802, 9192/1318 is 78132.

LCM(17/802, 9192/1318) = 78132

LCM of 17/802, 9192/1318

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 17/802,9192/1318

Given numbers are 17/802,9192/1318

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 17,9192

Least Common Multiple of Numerators i.e. LCM of 17,9192 is 156264.

GCF of Denominators means GCF of 802,1318 as per the given fractions.

GCF of 802,1318 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,9192

LCM of Fractions 17/802,9192/1318 is 78132

Given numbers has no common factors except 1. So, there LCM is their product i.e 156264

Least Common Multiple of 17,9192 with GCF Formula

Least Common Multiple of 17,9192 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 17,9192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,9192) = 1

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

GCF(17,9192) x common factors =1 x 1 = 1

LCM(17,9192) = ( 17 × 9192 ) / 1

LCM(17,9192) = 156264 / 1

LCM(17,9192) = 156264


Lets's calculate GCF of 802,1318

2 802, 1318
401, 659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156264/2

Therefore the LCM of Fractions 17/802,9192/1318 is 78132

Greatest Common Factor of 802,1318 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,1318 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 1318

List of positive integer factors of 1318 that divides 1318 without a remainder.

1,2,659,1318

Greatest Common Factor

We found the factors 802,1318 . The biggest common factor number is the GCF number.
So the greatest common factor 802,1318 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 17/802, 9192/1318

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 17/802, 9192/1318?

Answer: LCM of Numerators as per given numbers 17/802, 9192/1318 is

LCM of Numerators i.e. for 17,9192 is 156264

GCF of denominators i.e. for 802,1318 is 2.

Thus, LCM of Fractions is 78132.Finally, LCM of Fractions for 17/802, 9192/1318 is 78132.