Least Common Multiple of 330/15, 411/67, 177/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 330/15, 411/67, 177/999 quickly i.e. 2667390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/15, 411/67, 177/999 is 2667390.

LCM(330/15, 411/67, 177/999) = 2667390

LCM of 330/15, 411/67, 177/999

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 330/15,411/67,177/999

Given numbers are 330/15,411/67,177/999

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 330,411,177

Least Common Multiple of Numerators i.e. LCM of 330,411,177 is 2667390.

GCF of Denominators means GCF of 15,67,999 as per the given fractions.

GCF of 15,67,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,411,177

LCM of Fractions 330/15,411/67,177/999 is 2667390

3 330, 411, 177
110, 137, 59

∴ So the LCM of the given numbers is 3 x 110 x 137 x 59 = 2667390

Least Common Multiple of 330,411,177 with GCF Formula

Least Common Multiple of 330,411,177 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 330,411,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,411,177) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(330,411,177) x common factors =3 x 3 = 9

LCM(330,411,177) = ( 330 × 411 × 177 ) / 9

LCM(330,411,177) = 24006510 / 9

LCM(330,411,177) = 2667390


Lets's calculate GCF of 15,67,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2667390/1

Therefore the LCM of Fractions 330/15,411/67,177/999 is 2667390

Greatest Common Factor of 15,67,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,67,999 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 15,67,999 . The biggest common factor number is the GCF number.
So the greatest common factor 15,67,999 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 330/15, 411/67, 177/999

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 330/15, 411/67, 177/999?

Answer: LCM of Numerators as per given numbers 330/15, 411/67, 177/999 is

LCM of Numerators i.e. for 330,411,177 is 2667390

GCF of denominators i.e. for 15,67,999 is 1.

Thus, LCM of Fractions is 2667390.Finally, LCM of Fractions for 330/15, 411/67, 177/999 is 2667390.