Least Common Multiple of 76/33, 42/20, 588/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/33, 42/20, 588/379 quickly i.e. 11172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/33, 42/20, 588/379 is 11172.

LCM(76/33, 42/20, 588/379) = 11172

LCM of 76/33, 42/20, 588/379

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 76/33,42/20,588/379

Given numbers are 76/33,42/20,588/379

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 76,42,588

Least Common Multiple of Numerators i.e. LCM of 76,42,588 is 11172.

GCF of Denominators means GCF of 33,20,379 as per the given fractions.

GCF of 33,20,379 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,42,588

LCM of Fractions 76/33,42/20,588/379 is 11172

2 76, 42, 588
2 38, 21, 294
3 19, 21, 147
7 19, 7, 49
19, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 19 x 1 x 7 = 11172

Least Common Multiple of 76,42,588 with GCF Formula

Least Common Multiple of 76,42,588 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 76,42,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,42,588) = 2

common factors(in case of two or more numbers have common factors) = 84

GCF(76,42,588) x common factors =2 x 84 = 168

LCM(76,42,588) = ( 76 × 42 × 588 ) / 168

LCM(76,42,588) = 1876896 / 168

LCM(76,42,588) = 11172


Lets's calculate GCF of 33,20,379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11172/1

Therefore the LCM of Fractions 76/33,42/20,588/379 is 11172

Greatest Common Factor of 33,20,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,20,379 By Matching Biggest Common Factor Method

Factors of 33

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

1,3,11,33

Factors of 20

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

1,2,4,5,10,20

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors 33,20,379 . The biggest common factor number is the GCF number.
So the greatest common factor 33,20,379 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 76/33, 42/20, 588/379

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 76/33, 42/20, 588/379?

Answer: LCM of Numerators as per given numbers 76/33, 42/20, 588/379 is

LCM of Numerators i.e. for 76,42,588 is 11172

GCF of denominators i.e. for 33,20,379 is 1.

Thus, LCM of Fractions is 11172.Finally, LCM of Fractions for 76/33, 42/20, 588/379 is 11172.