Least Common Multiple of 93/330, 390/600, 679/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/330, 390/600, 679/406 quickly i.e. 4104555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/330, 390/600, 679/406 is 4104555.

LCM(93/330, 390/600, 679/406) = 4104555

LCM of 93/330, 390/600, 679/406

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 93/330,390/600,679/406

Given numbers are 93/330,390/600,679/406

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 93,390,679

Least Common Multiple of Numerators i.e. LCM of 93,390,679 is 8209110.

GCF of Denominators means GCF of 330,600,406 as per the given fractions.

GCF of 330,600,406 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,390,679

LCM of Fractions 93/330,390/600,679/406 is 4104555

3 93, 390, 679
31, 130, 679

∴ So the LCM of the given numbers is 3 x 31 x 130 x 679 = 8209110

Least Common Multiple of 93,390,679 with GCF Formula

Least Common Multiple of 93,390,679 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 93,390,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,390,679) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(93,390,679) x common factors =1 x 3 = 3

LCM(93,390,679) = ( 93 × 390 × 679 ) / 3

LCM(93,390,679) = 24627330 / 3

LCM(93,390,679) = 8209110


Lets's calculate GCF of 330,600,406

2 330, 600, 406
165, 300, 203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8209110/2

Therefore the LCM of Fractions 93/330,390/600,679/406 is 4104555

Greatest Common Factor of 330,600,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,600,406 By Matching Biggest Common Factor Method

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

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 330,600,406 . The biggest common factor number is the GCF number.
So the greatest common factor 330,600,406 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 93/330, 390/600, 679/406

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 93/330, 390/600, 679/406?

Answer: LCM of Numerators as per given numbers 93/330, 390/600, 679/406 is

LCM of Numerators i.e. for 93,390,679 is 8209110

GCF of denominators i.e. for 330,600,406 is 2.

Thus, LCM of Fractions is 4104555.Finally, LCM of Fractions for 93/330, 390/600, 679/406 is 4104555.