Least Common Multiple of 28/491, 371/733, 164/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/491, 371/733, 164/586 quickly i.e. 60844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/491, 371/733, 164/586 is 60844.

LCM(28/491, 371/733, 164/586) = 60844

LCM of 28/491, 371/733, 164/586

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 28/491,371/733,164/586

Given numbers are 28/491,371/733,164/586

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 28,371,164

Least Common Multiple of Numerators i.e. LCM of 28,371,164 is 60844.

GCF of Denominators means GCF of 491,733,586 as per the given fractions.

GCF of 491,733,586 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,371,164

LCM of Fractions 28/491,371/733,164/586 is 60844

2 28, 371, 164
2 14, 371, 82
7 7, 371, 41
1, 53, 41

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 53 x 41 = 60844

Least Common Multiple of 28,371,164 with GCF Formula

Least Common Multiple of 28,371,164 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 28,371,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,371,164) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(28,371,164) x common factors =1 x 28 = 28

LCM(28,371,164) = ( 28 × 371 × 164 ) / 28

LCM(28,371,164) = 1703632 / 28

LCM(28,371,164) = 60844


Lets's calculate GCF of 491,733,586

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60844/1

Therefore the LCM of Fractions 28/491,371/733,164/586 is 60844

Greatest Common Factor of 491,733,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,733,586 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 491,733,586 . The biggest common factor number is the GCF number.
So the greatest common factor 491,733,586 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 28/491, 371/733, 164/586

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 28/491, 371/733, 164/586?

Answer: LCM of Numerators as per given numbers 28/491, 371/733, 164/586 is

LCM of Numerators i.e. for 28,371,164 is 60844

GCF of denominators i.e. for 491,733,586 is 1.

Thus, LCM of Fractions is 60844.Finally, LCM of Fractions for 28/491, 371/733, 164/586 is 60844.