Least Common Multiple of 669/20, 615/47, 852/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 669/20, 615/47, 852/12 quickly i.e. 38949180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 669/20, 615/47, 852/12 is 38949180.

LCM(669/20, 615/47, 852/12) = 38949180

LCM of 669/20, 615/47, 852/12

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 669/20,615/47,852/12

Given numbers are 669/20,615/47,852/12

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 669,615,852

Least Common Multiple of Numerators i.e. LCM of 669,615,852 is 38949180.

GCF of Denominators means GCF of 20,47,12 as per the given fractions.

GCF of 20,47,12 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 669,615,852

LCM of Fractions 669/20,615/47,852/12 is 38949180

3 669, 615, 852
223, 205, 284

∴ So the LCM of the given numbers is 3 x 223 x 205 x 284 = 38949180

Least Common Multiple of 669,615,852 with GCF Formula

Least Common Multiple of 669,615,852 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 669,615,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,615,852) = 3

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

GCF(669,615,852) x common factors =3 x 3 = 9

LCM(669,615,852) = ( 669 × 615 × 852 ) / 9

LCM(669,615,852) = 350542620 / 9

LCM(669,615,852) = 38949180


Lets's calculate GCF of 20,47,12

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38949180/1

Therefore the LCM of Fractions 669/20,615/47,852/12 is 38949180

Greatest Common Factor of 20,47,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,47,12 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Greatest Common Factor

We found the factors 20,47,12 . The biggest common factor number is the GCF number.
So the greatest common factor 20,47,12 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 669/20, 615/47, 852/12

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 669/20, 615/47, 852/12?

Answer: LCM of Numerators as per given numbers 669/20, 615/47, 852/12 is

LCM of Numerators i.e. for 669,615,852 is 38949180

GCF of denominators i.e. for 20,47,12 is 1.

Thus, LCM of Fractions is 38949180.Finally, LCM of Fractions for 669/20, 615/47, 852/12 is 38949180.