Least Common Multiple of 147/30, 486/7872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 147/30, 486/7872 quickly i.e. 3969 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 147/30, 486/7872 is 3969.

LCM(147/30, 486/7872) = 3969

LCM of 147/30, 486/7872

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 147/30,486/7872

Given numbers are 147/30,486/7872

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 147,486

Least Common Multiple of Numerators i.e. LCM of 147,486 is 23814.

GCF of Denominators means GCF of 30,7872 as per the given fractions.

GCF of 30,7872 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 147,486

LCM of Fractions 147/30,486/7872 is 3969

3 147, 486
49, 162

∴ So the LCM of the given numbers is 3 x 49 x 162 = 23814

Least Common Multiple of 147,486 with GCF Formula

Least Common Multiple of 147,486 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 147,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,486) = 3

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

GCF(147,486) x common factors =3 x 1 = 3

LCM(147,486) = ( 147 × 486 ) / 3

LCM(147,486) = 71442 / 3

LCM(147,486) = 23814


Lets's calculate GCF of 30,7872

2 30, 7872
3 15, 3936
5, 1312

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23814/6

Therefore the LCM of Fractions 147/30,486/7872 is 3969

Greatest Common Factor of 30,7872 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,7872 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 7872

List of positive integer factors of 7872 that divides 7872 without a remainder.

1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872

Greatest Common Factor

We found the factors 30,7872 . The biggest common factor number is the GCF number.
So the greatest common factor 30,7872 is 6.


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 147/30, 486/7872

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 147/30, 486/7872?

Answer: LCM of Numerators as per given numbers 147/30, 486/7872 is

LCM of Numerators i.e. for 147,486 is 23814

GCF of denominators i.e. for 30,7872 is 6.

Thus, LCM of Fractions is 3969.Finally, LCM of Fractions for 147/30, 486/7872 is 3969.