Least Common Multiple of 20/61, 71/66, 84/33, 42/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/61, 71/66, 84/33, 42/476 quickly i.e. 29820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/61, 71/66, 84/33, 42/476 is 29820.

LCM(20/61, 71/66, 84/33, 42/476) = 29820

LCM of 20/61, 71/66, 84/33, 42/476

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 20/61,71/66,84/33,42/476

Given numbers are 20/61,71/66,84/33,42/476

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 20,71,84,42

Least Common Multiple of Numerators i.e. LCM of 20,71,84,42 is 29820.

GCF of Denominators means GCF of 61,66,33,476 as per the given fractions.

GCF of 61,66,33,476 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,71,84,42

LCM of Fractions 20/61,71/66,84/33,42/476 is 29820

2 20, 71, 84, 42
2 10, 71, 42, 21
3 5, 71, 21, 21
7 5, 71, 7, 7
5, 71, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 5 x 71 x 1 x 1 = 29820

Least Common Multiple of 20,71,84,42 with GCF Formula

Least Common Multiple of 20,71,84,42 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 20,71,84,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,71,84,42) = 1

common factors(in case of two or more numbers have common factors) = 168

GCF(20,71,84,42) x common factors =1 x 168 = 168

LCM(20,71,84,42) = ( 20 × 71 × 84 × 42 ) / 168

LCM(20,71,84,42) = 5009760 / 168

LCM(20,71,84,42) = 29820


Lets's calculate GCF of 61,66,33,476

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29820/1

Therefore the LCM of Fractions 20/61,71/66,84/33,42/476 is 29820

Greatest Common Factor of 61,66,33,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,66,33,476 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 61,66,33,476 . The biggest common factor number is the GCF number.
So the greatest common factor 61,66,33,476 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 20/61, 71/66, 84/33, 42/476

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 20/61, 71/66, 84/33, 42/476?

Answer: LCM of Numerators as per given numbers 20/61, 71/66, 84/33, 42/476 is

LCM of Numerators i.e. for 20,71,84,42 is 29820

GCF of denominators i.e. for 61,66,33,476 is 1.

Thus, LCM of Fractions is 29820.Finally, LCM of Fractions for 20/61, 71/66, 84/33, 42/476 is 29820.