Least Common Multiple of 231/65, 1696/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 231/65, 1696/917 quickly i.e. 391776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 231/65, 1696/917 is 391776.

LCM(231/65, 1696/917) = 391776

LCM of 231/65, 1696/917

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 231/65,1696/917

Given numbers are 231/65,1696/917

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 231,1696

Least Common Multiple of Numerators i.e. LCM of 231,1696 is 391776.

GCF of Denominators means GCF of 65,917 as per the given fractions.

GCF of 65,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 231,1696

LCM of Fractions 231/65,1696/917 is 391776

Given numbers has no common factors except 1. So, there LCM is their product i.e 391776

Least Common Multiple of 231,1696 with GCF Formula

Least Common Multiple of 231,1696 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 231,1696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,1696) = 1

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

GCF(231,1696) x common factors =1 x 1 = 1

LCM(231,1696) = ( 231 × 1696 ) / 1

LCM(231,1696) = 391776 / 1

LCM(231,1696) = 391776


Lets's calculate GCF of 65,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 391776/1

Therefore the LCM of Fractions 231/65,1696/917 is 391776

Greatest Common Factor of 65,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,917 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 65,917 . The biggest common factor number is the GCF number.
So the greatest common factor 65,917 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 231/65, 1696/917

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 231/65, 1696/917?

Answer: LCM of Numerators as per given numbers 231/65, 1696/917 is

LCM of Numerators i.e. for 231,1696 is 391776

GCF of denominators i.e. for 65,917 is 1.

Thus, LCM of Fractions is 391776.Finally, LCM of Fractions for 231/65, 1696/917 is 391776.