Least Common Multiple of 300/27, 460/26, 330/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/27, 460/26, 330/982 quickly i.e. 75900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/27, 460/26, 330/982 is 75900.

LCM(300/27, 460/26, 330/982) = 75900

LCM of 300/27, 460/26, 330/982

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 300/27,460/26,330/982

Given numbers are 300/27,460/26,330/982

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 300,460,330

Least Common Multiple of Numerators i.e. LCM of 300,460,330 is 75900.

GCF of Denominators means GCF of 27,26,982 as per the given fractions.

GCF of 27,26,982 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,460,330

LCM of Fractions 300/27,460/26,330/982 is 75900

2 300, 460, 330
2 150, 230, 165
3 75, 115, 165
5 25, 115, 55
5, 23, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 23 x 11 = 75900

Least Common Multiple of 300,460,330 with GCF Formula

Least Common Multiple of 300,460,330 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 300,460,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,460,330) = 10

common factors(in case of two or more numbers have common factors) = 60

GCF(300,460,330) x common factors =10 x 60 = 600

LCM(300,460,330) = ( 300 × 460 × 330 ) / 600

LCM(300,460,330) = 45540000 / 600

LCM(300,460,330) = 75900


Lets's calculate GCF of 27,26,982

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75900/1

Therefore the LCM of Fractions 300/27,460/26,330/982 is 75900

Greatest Common Factor of 27,26,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,26,982 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 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 27,26,982 . The biggest common factor number is the GCF number.
So the greatest common factor 27,26,982 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 300/27, 460/26, 330/982

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 300/27, 460/26, 330/982?

Answer: LCM of Numerators as per given numbers 300/27, 460/26, 330/982 is

LCM of Numerators i.e. for 300,460,330 is 75900

GCF of denominators i.e. for 27,26,982 is 1.

Thus, LCM of Fractions is 75900.Finally, LCM of Fractions for 300/27, 460/26, 330/982 is 75900.