Least Common Multiple of 270/32, 599/40, 834/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/32, 599/40, 834/330 quickly i.e. 11240235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/32, 599/40, 834/330 is 11240235.

LCM(270/32, 599/40, 834/330) = 11240235

LCM of 270/32, 599/40, 834/330

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 270/32,599/40,834/330

Given numbers are 270/32,599/40,834/330

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 270,599,834

Least Common Multiple of Numerators i.e. LCM of 270,599,834 is 22480470.

GCF of Denominators means GCF of 32,40,330 as per the given fractions.

GCF of 32,40,330 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,599,834

LCM of Fractions 270/32,599/40,834/330 is 11240235

2 270, 599, 834
3 135, 599, 417
45, 599, 139

∴ So the LCM of the given numbers is 2 x 3 x 45 x 599 x 139 = 22480470

Least Common Multiple of 270,599,834 with GCF Formula

Least Common Multiple of 270,599,834 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 270,599,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,599,834) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(270,599,834) x common factors =1 x 6 = 6

LCM(270,599,834) = ( 270 × 599 × 834 ) / 6

LCM(270,599,834) = 134882820 / 6

LCM(270,599,834) = 22480470


Lets's calculate GCF of 32,40,330

2 32, 40, 330
16, 20, 165

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22480470/2

Therefore the LCM of Fractions 270/32,599/40,834/330 is 11240235

Greatest Common Factor of 32,40,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,40,330 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 32,40,330 . The biggest common factor number is the GCF number.
So the greatest common factor 32,40,330 is 2.


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 270/32, 599/40, 834/330

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 270/32, 599/40, 834/330?

Answer: LCM of Numerators as per given numbers 270/32, 599/40, 834/330 is

LCM of Numerators i.e. for 270,599,834 is 22480470

GCF of denominators i.e. for 32,40,330 is 2.

Thus, LCM of Fractions is 11240235.Finally, LCM of Fractions for 270/32, 599/40, 834/330 is 11240235.