Least Common Multiple of 904/150, 233/645, 994/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 904/150, 233/645, 994/834 quickly i.e. 104684104/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/150, 233/645, 994/834 is 104684104/3.

LCM(904/150, 233/645, 994/834) = 104684104/3

LCM of 904/150, 233/645, 994/834

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 904/150,233/645,994/834

Given numbers are 904/150,233/645,994/834

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 904,233,994

Least Common Multiple of Numerators i.e. LCM of 904,233,994 is 104684104.

GCF of Denominators means GCF of 150,645,834 as per the given fractions.

GCF of 150,645,834 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,233,994

LCM of Fractions 904/150,233/645,994/834 is 104684104/3

2 904, 233, 994
452, 233, 497

∴ So the LCM of the given numbers is 2 x 452 x 233 x 497 = 104684104

Least Common Multiple of 904,233,994 with GCF Formula

Least Common Multiple of 904,233,994 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 904,233,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,233,994) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(904,233,994) x common factors =1 x 2 = 2

LCM(904,233,994) = ( 904 × 233 × 994 ) / 2

LCM(904,233,994) = 209368208 / 2

LCM(904,233,994) = 104684104


Lets's calculate GCF of 150,645,834

3 150, 645, 834
50, 215, 278

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104684104/3

Therefore the LCM of Fractions 904/150,233/645,994/834 is 104684104/3

Greatest Common Factor of 150,645,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,645,834 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 150,645,834 . The biggest common factor number is the GCF number.
So the greatest common factor 150,645,834 is 3.


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 904/150, 233/645, 994/834

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 904/150, 233/645, 994/834?

Answer: LCM of Numerators as per given numbers 904/150, 233/645, 994/834 is

LCM of Numerators i.e. for 904,233,994 is 104684104

GCF of denominators i.e. for 150,645,834 is 3.

Thus, LCM of Fractions is 104684104/3.Finally, LCM of Fractions for 904/150, 233/645, 994/834 is 104684104/3.