Least Common Multiple of 16/79, 28/987, 291/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/79, 28/987, 291/442 quickly i.e. 32592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/79, 28/987, 291/442 is 32592.

LCM(16/79, 28/987, 291/442) = 32592

LCM of 16/79, 28/987, 291/442

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 16/79,28/987,291/442

Given numbers are 16/79,28/987,291/442

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 16,28,291

Least Common Multiple of Numerators i.e. LCM of 16,28,291 is 32592.

GCF of Denominators means GCF of 79,987,442 as per the given fractions.

GCF of 79,987,442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,28,291

LCM of Fractions 16/79,28/987,291/442 is 32592

2 16, 28, 291
2 8, 14, 291
4, 7, 291

∴ So the LCM of the given numbers is 2 x 2 x 4 x 7 x 291 = 32592

Least Common Multiple of 16,28,291 with GCF Formula

Least Common Multiple of 16,28,291 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 16,28,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,28,291) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(16,28,291) x common factors =1 x 4 = 4

LCM(16,28,291) = ( 16 × 28 × 291 ) / 4

LCM(16,28,291) = 130368 / 4

LCM(16,28,291) = 32592


Lets's calculate GCF of 79,987,442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32592/1

Therefore the LCM of Fractions 16/79,28/987,291/442 is 32592

Greatest Common Factor of 79,987,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,987,442 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 79,987,442 . The biggest common factor number is the GCF number.
So the greatest common factor 79,987,442 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 16/79, 28/987, 291/442

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 16/79, 28/987, 291/442?

Answer: LCM of Numerators as per given numbers 16/79, 28/987, 291/442 is

LCM of Numerators i.e. for 16,28,291 is 32592

GCF of denominators i.e. for 79,987,442 is 1.

Thus, LCM of Fractions is 32592.Finally, LCM of Fractions for 16/79, 28/987, 291/442 is 32592.