Least Common Multiple of 330/411, 272/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 330/411, 272/847 quickly i.e. 44880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/411, 272/847 is 44880.

LCM(330/411, 272/847) = 44880

LCM of 330/411, 272/847

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 330/411,272/847

Given numbers are 330/411,272/847

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 330,272

Least Common Multiple of Numerators i.e. LCM of 330,272 is 44880.

GCF of Denominators means GCF of 411,847 as per the given fractions.

GCF of 411,847 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,272

LCM of Fractions 330/411,272/847 is 44880

2 330, 272
165, 136

∴ So the LCM of the given numbers is 2 x 165 x 136 = 44880

Least Common Multiple of 330,272 with GCF Formula

Least Common Multiple of 330,272 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 330,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,272) = 2

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

GCF(330,272) x common factors =2 x 1 = 2

LCM(330,272) = ( 330 × 272 ) / 2

LCM(330,272) = 89760 / 2

LCM(330,272) = 44880


Lets's calculate GCF of 411,847

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44880/1

Therefore the LCM of Fractions 330/411,272/847 is 44880

Greatest Common Factor of 411,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,847 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 411,847 . The biggest common factor number is the GCF number.
So the greatest common factor 411,847 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 330/411, 272/847

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 330/411, 272/847?

Answer: LCM of Numerators as per given numbers 330/411, 272/847 is

LCM of Numerators i.e. for 330,272 is 44880

GCF of denominators i.e. for 411,847 is 1.

Thus, LCM of Fractions is 44880.Finally, LCM of Fractions for 330/411, 272/847 is 44880.