Least Common Multiple of 33/697, 929/565, 431/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 33/697, 929/565, 431/589 quickly i.e. 13213167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/697, 929/565, 431/589 is 13213167.

LCM(33/697, 929/565, 431/589) = 13213167

LCM of 33/697, 929/565, 431/589

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 33/697,929/565,431/589

Given numbers are 33/697,929/565,431/589

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 33,929,431

Least Common Multiple of Numerators i.e. LCM of 33,929,431 is 13213167.

GCF of Denominators means GCF of 697,565,589 as per the given fractions.

GCF of 697,565,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,929,431

LCM of Fractions 33/697,929/565,431/589 is 13213167

Given numbers has no common factors except 1. So, there LCM is their product i.e 13213167

Least Common Multiple of 33,929,431 with GCF Formula

Least Common Multiple of 33,929,431 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 33,929,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,929,431) = 1

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

GCF(33,929,431) x common factors =1 x 1 = 1

LCM(33,929,431) = ( 33 × 929 × 431 ) / 1

LCM(33,929,431) = 13213167 / 1

LCM(33,929,431) = 13213167


Lets's calculate GCF of 697,565,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13213167/1

Therefore the LCM of Fractions 33/697,929/565,431/589 is 13213167

Greatest Common Factor of 697,565,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,565,589 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 697,565,589 . The biggest common factor number is the GCF number.
So the greatest common factor 697,565,589 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 33/697, 929/565, 431/589

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 33/697, 929/565, 431/589?

Answer: LCM of Numerators as per given numbers 33/697, 929/565, 431/589 is

LCM of Numerators i.e. for 33,929,431 is 13213167

GCF of denominators i.e. for 697,565,589 is 1.

Thus, LCM of Fractions is 13213167.Finally, LCM of Fractions for 33/697, 929/565, 431/589 is 13213167.