Least Common Multiple of 33/20, 932/36, 411/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 33/20, 932/36, 411/427 quickly i.e. 4213572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/20, 932/36, 411/427 is 4213572.

LCM(33/20, 932/36, 411/427) = 4213572

LCM of 33/20, 932/36, 411/427

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 33/20,932/36,411/427

Given numbers are 33/20,932/36,411/427

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 33,932,411

Least Common Multiple of Numerators i.e. LCM of 33,932,411 is 4213572.

GCF of Denominators means GCF of 20,36,427 as per the given fractions.

GCF of 20,36,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,932,411

LCM of Fractions 33/20,932/36,411/427 is 4213572

3 33, 932, 411
11, 932, 137

∴ So the LCM of the given numbers is 3 x 11 x 932 x 137 = 4213572

Least Common Multiple of 33,932,411 with GCF Formula

Least Common Multiple of 33,932,411 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 33,932,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,932,411) = 1

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

GCF(33,932,411) x common factors =1 x 3 = 3

LCM(33,932,411) = ( 33 × 932 × 411 ) / 3

LCM(33,932,411) = 12640716 / 3

LCM(33,932,411) = 4213572


Lets's calculate GCF of 20,36,427

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4213572/1

Therefore the LCM of Fractions 33/20,932/36,411/427 is 4213572

Greatest Common Factor of 20,36,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,36,427 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 20,36,427 . The biggest common factor number is the GCF number.
So the greatest common factor 20,36,427 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 33/20, 932/36, 411/427

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 33/20, 932/36, 411/427?

Answer: LCM of Numerators as per given numbers 33/20, 932/36, 411/427 is

LCM of Numerators i.e. for 33,932,411 is 4213572

GCF of denominators i.e. for 20,36,427 is 1.

Thus, LCM of Fractions is 4213572.Finally, LCM of Fractions for 33/20, 932/36, 411/427 is 4213572.