Least Common Multiple of 759/727, 675/735, 858/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 759/727, 675/735, 858/831 quickly i.e. 4440150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 759/727, 675/735, 858/831 is 4440150.

LCM(759/727, 675/735, 858/831) = 4440150

LCM of 759/727, 675/735, 858/831

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 759/727,675/735,858/831

Given numbers are 759/727,675/735,858/831

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 759,675,858

Least Common Multiple of Numerators i.e. LCM of 759,675,858 is 4440150.

GCF of Denominators means GCF of 727,735,831 as per the given fractions.

GCF of 727,735,831 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 759,675,858

LCM of Fractions 759/727,675/735,858/831 is 4440150

3 759, 675, 858
11 253, 225, 286
23, 225, 26

∴ So the LCM of the given numbers is 3 x 11 x 23 x 225 x 26 = 4440150

Least Common Multiple of 759,675,858 with GCF Formula

Least Common Multiple of 759,675,858 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 759,675,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,675,858) = 3

common factors(in case of two or more numbers have common factors) = 33

GCF(759,675,858) x common factors =3 x 33 = 99

LCM(759,675,858) = ( 759 × 675 × 858 ) / 99

LCM(759,675,858) = 439574850 / 99

LCM(759,675,858) = 4440150


Lets's calculate GCF of 727,735,831

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4440150/1

Therefore the LCM of Fractions 759/727,675/735,858/831 is 4440150

Greatest Common Factor of 727,735,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,735,831 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 727,735,831 . The biggest common factor number is the GCF number.
So the greatest common factor 727,735,831 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 759/727, 675/735, 858/831

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 759/727, 675/735, 858/831?

Answer: LCM of Numerators as per given numbers 759/727, 675/735, 858/831 is

LCM of Numerators i.e. for 759,675,858 is 4440150

GCF of denominators i.e. for 727,735,831 is 1.

Thus, LCM of Fractions is 4440150.Finally, LCM of Fractions for 759/727, 675/735, 858/831 is 4440150.