Least Common Multiple of 17/865, 39/996, 326/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/865, 39/996, 326/506 quickly i.e. 216138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/865, 39/996, 326/506 is 216138.

LCM(17/865, 39/996, 326/506) = 216138

LCM of 17/865, 39/996, 326/506

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 17/865,39/996,326/506

Given numbers are 17/865,39/996,326/506

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 17,39,326

Least Common Multiple of Numerators i.e. LCM of 17,39,326 is 216138.

GCF of Denominators means GCF of 865,996,506 as per the given fractions.

GCF of 865,996,506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,39,326

LCM of Fractions 17/865,39/996,326/506 is 216138

Given numbers has no common factors except 1. So, there LCM is their product i.e 216138

Least Common Multiple of 17,39,326 with GCF Formula

Least Common Multiple of 17,39,326 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 17,39,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,39,326) = 1

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

GCF(17,39,326) x common factors =1 x 1 = 1

LCM(17,39,326) = ( 17 × 39 × 326 ) / 1

LCM(17,39,326) = 216138 / 1

LCM(17,39,326) = 216138


Lets's calculate GCF of 865,996,506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216138/1

Therefore the LCM of Fractions 17/865,39/996,326/506 is 216138

Greatest Common Factor of 865,996,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,996,506 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 865,996,506 . The biggest common factor number is the GCF number.
So the greatest common factor 865,996,506 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 17/865, 39/996, 326/506

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 17/865, 39/996, 326/506?

Answer: LCM of Numerators as per given numbers 17/865, 39/996, 326/506 is

LCM of Numerators i.e. for 17,39,326 is 216138

GCF of denominators i.e. for 865,996,506 is 1.

Thus, LCM of Fractions is 216138.Finally, LCM of Fractions for 17/865, 39/996, 326/506 is 216138.