Least Common Multiple of 888/285, 330/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 888/285, 330/441 quickly i.e. 16280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 888/285, 330/441 is 16280.

LCM(888/285, 330/441) = 16280

LCM of 888/285, 330/441

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 888/285,330/441

Given numbers are 888/285,330/441

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 888,330

Least Common Multiple of Numerators i.e. LCM of 888,330 is 48840.

GCF of Denominators means GCF of 285,441 as per the given fractions.

GCF of 285,441 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 888,330

LCM of Fractions 888/285,330/441 is 16280

2 888, 330
3 444, 165
148, 55

∴ So the LCM of the given numbers is 2 x 3 x 148 x 55 = 48840

Least Common Multiple of 888,330 with GCF Formula

Least Common Multiple of 888,330 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 888,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,330) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(888,330) x common factors =6 x 1 = 6

LCM(888,330) = ( 888 × 330 ) / 6

LCM(888,330) = 293040 / 6

LCM(888,330) = 48840


Lets's calculate GCF of 285,441

3 285, 441
95, 147

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48840/3

Therefore the LCM of Fractions 888/285,330/441 is 16280

Greatest Common Factor of 285,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,441 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 285,441 . The biggest common factor number is the GCF number.
So the greatest common factor 285,441 is 3.


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 888/285, 330/441

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 888/285, 330/441?

Answer: LCM of Numerators as per given numbers 888/285, 330/441 is

LCM of Numerators i.e. for 888,330 is 48840

GCF of denominators i.e. for 285,441 is 3.

Thus, LCM of Fractions is 16280.Finally, LCM of Fractions for 888/285, 330/441 is 16280.