Least Common Multiple of 731/33, 587/89, 697/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 731/33, 587/89, 697/774 quickly i.e. 17592977 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 731/33, 587/89, 697/774 is 17592977.

LCM(731/33, 587/89, 697/774) = 17592977

LCM of 731/33, 587/89, 697/774

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 731/33,587/89,697/774

Given numbers are 731/33,587/89,697/774

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 731,587,697

Least Common Multiple of Numerators i.e. LCM of 731,587,697 is 17592977.

GCF of Denominators means GCF of 33,89,774 as per the given fractions.

GCF of 33,89,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 731,587,697

LCM of Fractions 731/33,587/89,697/774 is 17592977

17 731, 587, 697
43, 587, 41

∴ So the LCM of the given numbers is 17 x 43 x 587 x 41 = 17592977

Least Common Multiple of 731,587,697 with GCF Formula

Least Common Multiple of 731,587,697 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 731,587,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,587,697) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(731,587,697) x common factors =1 x 17 = 17

LCM(731,587,697) = ( 731 × 587 × 697 ) / 17

LCM(731,587,697) = 299080609 / 17

LCM(731,587,697) = 17592977


Lets's calculate GCF of 33,89,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17592977/1

Therefore the LCM of Fractions 731/33,587/89,697/774 is 17592977

Greatest Common Factor of 33,89,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,89,774 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 33,89,774 . The biggest common factor number is the GCF number.
So the greatest common factor 33,89,774 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 731/33, 587/89, 697/774

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 731/33, 587/89, 697/774?

Answer: LCM of Numerators as per given numbers 731/33, 587/89, 697/774 is

LCM of Numerators i.e. for 731,587,697 is 17592977

GCF of denominators i.e. for 33,89,774 is 1.

Thus, LCM of Fractions is 17592977.Finally, LCM of Fractions for 731/33, 587/89, 697/774 is 17592977.