Least Common Multiple of 917/17, 865/9901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 917/17, 865/9901 quickly i.e. 793205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 917/17, 865/9901 is 793205.

LCM(917/17, 865/9901) = 793205

LCM of 917/17, 865/9901

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 917/17,865/9901

Given numbers are 917/17,865/9901

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 917,865

Least Common Multiple of Numerators i.e. LCM of 917,865 is 793205.

GCF of Denominators means GCF of 17,9901 as per the given fractions.

GCF of 17,9901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 917,865

LCM of Fractions 917/17,865/9901 is 793205

Given numbers has no common factors except 1. So, there LCM is their product i.e 793205

Least Common Multiple of 917,865 with GCF Formula

Least Common Multiple of 917,865 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 917,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(917,865) = 1

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

GCF(917,865) x common factors =1 x 1 = 1

LCM(917,865) = ( 917 × 865 ) / 1

LCM(917,865) = 793205 / 1

LCM(917,865) = 793205


Lets's calculate GCF of 17,9901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 793205/1

Therefore the LCM of Fractions 917/17,865/9901 is 793205

Greatest Common Factor of 17,9901 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,9901 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 9901

List of positive integer factors of 9901 that divides 9901 without a remainder.

1,9901

Greatest Common Factor

We found the factors 17,9901 . The biggest common factor number is the GCF number.
So the greatest common factor 17,9901 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 917/17, 865/9901

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 917/17, 865/9901?

Answer: LCM of Numerators as per given numbers 917/17, 865/9901 is

LCM of Numerators i.e. for 917,865 is 793205

GCF of denominators i.e. for 17,9901 is 1.

Thus, LCM of Fractions is 793205.Finally, LCM of Fractions for 917/17, 865/9901 is 793205.