Least Common Multiple of 66/615, 478/400, 395/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/615, 478/400, 395/885 quickly i.e. 1246146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/615, 478/400, 395/885 is 1246146.

LCM(66/615, 478/400, 395/885) = 1246146

LCM of 66/615, 478/400, 395/885

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 66/615,478/400,395/885

Given numbers are 66/615,478/400,395/885

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 66,478,395

Least Common Multiple of Numerators i.e. LCM of 66,478,395 is 6230730.

GCF of Denominators means GCF of 615,400,885 as per the given fractions.

GCF of 615,400,885 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,478,395

LCM of Fractions 66/615,478/400,395/885 is 1246146

2 66, 478, 395
33, 239, 395

∴ So the LCM of the given numbers is 2 x 33 x 239 x 395 = 6230730

Least Common Multiple of 66,478,395 with GCF Formula

Least Common Multiple of 66,478,395 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 66,478,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,478,395) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(66,478,395) x common factors =1 x 2 = 2

LCM(66,478,395) = ( 66 × 478 × 395 ) / 2

LCM(66,478,395) = 12461460 / 2

LCM(66,478,395) = 6230730


Lets's calculate GCF of 615,400,885

5 615, 400, 885
123, 80, 177

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6230730/5

Therefore the LCM of Fractions 66/615,478/400,395/885 is 1246146

Greatest Common Factor of 615,400,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,400,885 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 615,400,885 . The biggest common factor number is the GCF number.
So the greatest common factor 615,400,885 is 5.


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 66/615, 478/400, 395/885

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 66/615, 478/400, 395/885?

Answer: LCM of Numerators as per given numbers 66/615, 478/400, 395/885 is

LCM of Numerators i.e. for 66,478,395 is 6230730

GCF of denominators i.e. for 615,400,885 is 5.

Thus, LCM of Fractions is 1246146.Finally, LCM of Fractions for 66/615, 478/400, 395/885 is 1246146.