Least Common Multiple of 32/55, 854/81, 299/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 32/55, 854/81, 299/561 quickly i.e. 4085536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/55, 854/81, 299/561 is 4085536.

LCM(32/55, 854/81, 299/561) = 4085536

LCM of 32/55, 854/81, 299/561

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 32/55,854/81,299/561

Given numbers are 32/55,854/81,299/561

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 32,854,299

Least Common Multiple of Numerators i.e. LCM of 32,854,299 is 4085536.

GCF of Denominators means GCF of 55,81,561 as per the given fractions.

GCF of 55,81,561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,854,299

LCM of Fractions 32/55,854/81,299/561 is 4085536

2 32, 854, 299
16, 427, 299

∴ So the LCM of the given numbers is 2 x 16 x 427 x 299 = 4085536

Least Common Multiple of 32,854,299 with GCF Formula

Least Common Multiple of 32,854,299 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 32,854,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,854,299) = 1

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

GCF(32,854,299) x common factors =1 x 2 = 2

LCM(32,854,299) = ( 32 × 854 × 299 ) / 2

LCM(32,854,299) = 8171072 / 2

LCM(32,854,299) = 4085536


Lets's calculate GCF of 55,81,561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4085536/1

Therefore the LCM of Fractions 32/55,854/81,299/561 is 4085536

Greatest Common Factor of 55,81,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,81,561 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 55,81,561 . The biggest common factor number is the GCF number.
So the greatest common factor 55,81,561 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 32/55, 854/81, 299/561

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 32/55, 854/81, 299/561?

Answer: LCM of Numerators as per given numbers 32/55, 854/81, 299/561 is

LCM of Numerators i.e. for 32,854,299 is 4085536

GCF of denominators i.e. for 55,81,561 is 1.

Thus, LCM of Fractions is 4085536.Finally, LCM of Fractions for 32/55, 854/81, 299/561 is 4085536.