Least Common Multiple of 33/20, 17/43, 51/78, 51/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/20, 17/43, 51/78, 51/454 quickly i.e. 561 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, 17/43, 51/78, 51/454 is 561.

LCM(33/20, 17/43, 51/78, 51/454) = 561

LCM of 33/20, 17/43, 51/78, 51/454

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 33/20,17/43,51/78,51/454

Given numbers are 33/20,17/43,51/78,51/454

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 33,17,51,51

Least Common Multiple of Numerators i.e. LCM of 33,17,51,51 is 561.

GCF of Denominators means GCF of 20,43,78,454 as per the given fractions.

GCF of 20,43,78,454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,17,51,51

LCM of Fractions 33/20,17/43,51/78,51/454 is 561

3 33, 17, 51, 51
17 11, 17, 17, 17
11, 1, 1, 1

∴ So the LCM of the given numbers is 3 x 17 x 11 x 1 x 1 x 1 = 561

Least Common Multiple of 33,17,51,51 with GCF Formula

Least Common Multiple of 33,17,51,51 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 33,17,51,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,17,51,51) = 1

common factors(in case of two or more numbers have common factors) = 2601

GCF(33,17,51,51) x common factors =1 x 2601 = 2601

LCM(33,17,51,51) = ( 33 × 17 × 51 × 51 ) / 2601

LCM(33,17,51,51) = 1459161 / 2601

LCM(33,17,51,51) = 561


Lets's calculate GCF of 20,43,78,454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 561/1

Therefore the LCM of Fractions 33/20,17/43,51/78,51/454 is 561

Greatest Common Factor of 20,43,78,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,43,78,454 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 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 20,43,78,454 . The biggest common factor number is the GCF number.
So the greatest common factor 20,43,78,454 is 1.


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 33/20, 17/43, 51/78, 51/454

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, 17/43, 51/78, 51/454?

Answer: LCM of Numerators as per given numbers 33/20, 17/43, 51/78, 51/454 is

LCM of Numerators i.e. for 33,17,51,51 is 561

GCF of denominators i.e. for 20,43,78,454 is 1.

Thus, LCM of Fractions is 561.Finally, LCM of Fractions for 33/20, 17/43, 51/78, 51/454 is 561.