Least Common Multiple of 30/99, 814/38, 660/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/99, 814/38, 660/164 quickly i.e. 24420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/99, 814/38, 660/164 is 24420.

LCM(30/99, 814/38, 660/164) = 24420

LCM of 30/99, 814/38, 660/164

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 30/99,814/38,660/164

Given numbers are 30/99,814/38,660/164

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 30,814,660

Least Common Multiple of Numerators i.e. LCM of 30,814,660 is 24420.

GCF of Denominators means GCF of 99,38,164 as per the given fractions.

GCF of 99,38,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,814,660

LCM of Fractions 30/99,814/38,660/164 is 24420

2 30, 814, 660
3 15, 407, 330
5 5, 407, 110
11 1, 407, 22
1, 37, 2

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 1 x 37 x 2 = 24420

Least Common Multiple of 30,814,660 with GCF Formula

Least Common Multiple of 30,814,660 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 30,814,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,814,660) = 2

common factors(in case of two or more numbers have common factors) = 330

GCF(30,814,660) x common factors =2 x 330 = 660

LCM(30,814,660) = ( 30 × 814 × 660 ) / 660

LCM(30,814,660) = 16117200 / 660

LCM(30,814,660) = 24420


Lets's calculate GCF of 99,38,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24420/1

Therefore the LCM of Fractions 30/99,814/38,660/164 is 24420

Greatest Common Factor of 99,38,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,38,164 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 99,38,164 . The biggest common factor number is the GCF number.
So the greatest common factor 99,38,164 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 30/99, 814/38, 660/164

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 30/99, 814/38, 660/164?

Answer: LCM of Numerators as per given numbers 30/99, 814/38, 660/164 is

LCM of Numerators i.e. for 30,814,660 is 24420

GCF of denominators i.e. for 99,38,164 is 1.

Thus, LCM of Fractions is 24420.Finally, LCM of Fractions for 30/99, 814/38, 660/164 is 24420.