Least Common Multiple of 33/52, 42/440, 104/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/52, 42/440, 104/922 quickly i.e. 12012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/52, 42/440, 104/922 is 12012.

LCM(33/52, 42/440, 104/922) = 12012

LCM of 33/52, 42/440, 104/922

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 33/52,42/440,104/922

Given numbers are 33/52,42/440,104/922

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 33,42,104

Least Common Multiple of Numerators i.e. LCM of 33,42,104 is 24024.

GCF of Denominators means GCF of 52,440,922 as per the given fractions.

GCF of 52,440,922 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,42,104

LCM of Fractions 33/52,42/440,104/922 is 12012

2 33, 42, 104
3 33, 21, 52
11, 7, 52

∴ So the LCM of the given numbers is 2 x 3 x 11 x 7 x 52 = 24024

Least Common Multiple of 33,42,104 with GCF Formula

Least Common Multiple of 33,42,104 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 33,42,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,42,104) = 1

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

GCF(33,42,104) x common factors =1 x 6 = 6

LCM(33,42,104) = ( 33 × 42 × 104 ) / 6

LCM(33,42,104) = 144144 / 6

LCM(33,42,104) = 24024


Lets's calculate GCF of 52,440,922

2 52, 440, 922
26, 220, 461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24024/2

Therefore the LCM of Fractions 33/52,42/440,104/922 is 12012

Greatest Common Factor of 52,440,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,440,922 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 52,440,922 . The biggest common factor number is the GCF number.
So the greatest common factor 52,440,922 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 33/52, 42/440, 104/922

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 33/52, 42/440, 104/922?

Answer: LCM of Numerators as per given numbers 33/52, 42/440, 104/922 is

LCM of Numerators i.e. for 33,42,104 is 24024

GCF of denominators i.e. for 52,440,922 is 2.

Thus, LCM of Fractions is 12012.Finally, LCM of Fractions for 33/52, 42/440, 104/922 is 12012.