Least Common Multiple of 726/999, 8658/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/999, 8658/585 quickly i.e. 116402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/999, 8658/585 is 116402.

LCM(726/999, 8658/585) = 116402

LCM of 726/999, 8658/585

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 726/999,8658/585

Given numbers are 726/999,8658/585

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 726,8658

Least Common Multiple of Numerators i.e. LCM of 726,8658 is 1047618.

GCF of Denominators means GCF of 999,585 as per the given fractions.

GCF of 999,585 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,8658

LCM of Fractions 726/999,8658/585 is 116402

2 726, 8658
3 363, 4329
121, 1443

∴ So the LCM of the given numbers is 2 x 3 x 121 x 1443 = 1047618

Least Common Multiple of 726,8658 with GCF Formula

Least Common Multiple of 726,8658 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 726,8658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,8658) = 6

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

GCF(726,8658) x common factors =6 x 1 = 6

LCM(726,8658) = ( 726 × 8658 ) / 6

LCM(726,8658) = 6285708 / 6

LCM(726,8658) = 1047618


Lets's calculate GCF of 999,585

3 999, 585
3 333, 195
111, 65

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1047618/9

Therefore the LCM of Fractions 726/999,8658/585 is 116402

Greatest Common Factor of 999,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,585 By Matching Biggest Common Factor Method

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 999,585 . The biggest common factor number is the GCF number.
So the greatest common factor 999,585 is 9.


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 726/999, 8658/585

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 726/999, 8658/585?

Answer: LCM of Numerators as per given numbers 726/999, 8658/585 is

LCM of Numerators i.e. for 726,8658 is 1047618

GCF of denominators i.e. for 999,585 is 9.

Thus, LCM of Fractions is 116402.Finally, LCM of Fractions for 726/999, 8658/585 is 116402.