Least Common Multiple of 16/379, 33/371, 177/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/379, 33/371, 177/582 quickly i.e. 31152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/379, 33/371, 177/582 is 31152.

LCM(16/379, 33/371, 177/582) = 31152

LCM of 16/379, 33/371, 177/582

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 16/379,33/371,177/582

Given numbers are 16/379,33/371,177/582

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 16,33,177

Least Common Multiple of Numerators i.e. LCM of 16,33,177 is 31152.

GCF of Denominators means GCF of 379,371,582 as per the given fractions.

GCF of 379,371,582 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,33,177

LCM of Fractions 16/379,33/371,177/582 is 31152

3 16, 33, 177
16, 11, 59

∴ So the LCM of the given numbers is 3 x 16 x 11 x 59 = 31152

Least Common Multiple of 16,33,177 with GCF Formula

Least Common Multiple of 16,33,177 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 16,33,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,33,177) = 1

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

GCF(16,33,177) x common factors =1 x 3 = 3

LCM(16,33,177) = ( 16 × 33 × 177 ) / 3

LCM(16,33,177) = 93456 / 3

LCM(16,33,177) = 31152


Lets's calculate GCF of 379,371,582

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31152/1

Therefore the LCM of Fractions 16/379,33/371,177/582 is 31152

Greatest Common Factor of 379,371,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,371,582 By Matching Biggest Common Factor Method

Factors of 379

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

1,379

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 379,371,582 . The biggest common factor number is the GCF number.
So the greatest common factor 379,371,582 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 16/379, 33/371, 177/582

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 16/379, 33/371, 177/582?

Answer: LCM of Numerators as per given numbers 16/379, 33/371, 177/582 is

LCM of Numerators i.e. for 16,33,177 is 31152

GCF of denominators i.e. for 379,371,582 is 1.

Thus, LCM of Fractions is 31152.Finally, LCM of Fractions for 16/379, 33/371, 177/582 is 31152.