Least Common Multiple of 16/27, 82/59, 345/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 16/27, 82/59, 345/553 quickly i.e. 226320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/27, 82/59, 345/553 is 226320.

LCM(16/27, 82/59, 345/553) = 226320

LCM of 16/27, 82/59, 345/553

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 16/27,82/59,345/553

Given numbers are 16/27,82/59,345/553

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 16,82,345

Least Common Multiple of Numerators i.e. LCM of 16,82,345 is 226320.

GCF of Denominators means GCF of 27,59,553 as per the given fractions.

GCF of 27,59,553 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,82,345

LCM of Fractions 16/27,82/59,345/553 is 226320

2 16, 82, 345
8, 41, 345

∴ So the LCM of the given numbers is 2 x 8 x 41 x 345 = 226320

Least Common Multiple of 16,82,345 with GCF Formula

Least Common Multiple of 16,82,345 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 16,82,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,82,345) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(16,82,345) x common factors =1 x 2 = 2

LCM(16,82,345) = ( 16 × 82 × 345 ) / 2

LCM(16,82,345) = 452640 / 2

LCM(16,82,345) = 226320


Lets's calculate GCF of 27,59,553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226320/1

Therefore the LCM of Fractions 16/27,82/59,345/553 is 226320

Greatest Common Factor of 27,59,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,59,553 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 27,59,553 . The biggest common factor number is the GCF number.
So the greatest common factor 27,59,553 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 16/27, 82/59, 345/553

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 16/27, 82/59, 345/553?

Answer: LCM of Numerators as per given numbers 16/27, 82/59, 345/553 is

LCM of Numerators i.e. for 16,82,345 is 226320

GCF of denominators i.e. for 27,59,553 is 1.

Thus, LCM of Fractions is 226320.Finally, LCM of Fractions for 16/27, 82/59, 345/553 is 226320.