Least Common Multiple of 32/406, 33/720, 950/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/406, 33/720, 950/838 quickly i.e. 250800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/406, 33/720, 950/838 is 250800.

LCM(32/406, 33/720, 950/838) = 250800

LCM of 32/406, 33/720, 950/838

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 32/406,33/720,950/838

Given numbers are 32/406,33/720,950/838

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 32,33,950

Least Common Multiple of Numerators i.e. LCM of 32,33,950 is 501600.

GCF of Denominators means GCF of 406,720,838 as per the given fractions.

GCF of 406,720,838 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,33,950

LCM of Fractions 32/406,33/720,950/838 is 250800

2 32, 33, 950
16, 33, 475

∴ So the LCM of the given numbers is 2 x 16 x 33 x 475 = 501600

Least Common Multiple of 32,33,950 with GCF Formula

Least Common Multiple of 32,33,950 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 32,33,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,33,950) = 1

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

GCF(32,33,950) x common factors =1 x 2 = 2

LCM(32,33,950) = ( 32 × 33 × 950 ) / 2

LCM(32,33,950) = 1003200 / 2

LCM(32,33,950) = 501600


Lets's calculate GCF of 406,720,838

2 406, 720, 838
203, 360, 419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 501600/2

Therefore the LCM of Fractions 32/406,33/720,950/838 is 250800

Greatest Common Factor of 406,720,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,720,838 By Matching Biggest Common Factor Method

Factors of 406

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

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

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 406,720,838 . The biggest common factor number is the GCF number.
So the greatest common factor 406,720,838 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 32/406, 33/720, 950/838

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 32/406, 33/720, 950/838?

Answer: LCM of Numerators as per given numbers 32/406, 33/720, 950/838 is

LCM of Numerators i.e. for 32,33,950 is 501600

GCF of denominators i.e. for 406,720,838 is 2.

Thus, LCM of Fractions is 250800.Finally, LCM of Fractions for 32/406, 33/720, 950/838 is 250800.