Least Common Multiple of 653/396, 819/360, 407/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 653/396, 819/360, 407/855 quickly i.e. 24185161 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 653/396, 819/360, 407/855 is 24185161.

LCM(653/396, 819/360, 407/855) = 24185161

LCM of 653/396, 819/360, 407/855

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 653/396,819/360,407/855

Given numbers are 653/396,819/360,407/855

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 653,819,407

Least Common Multiple of Numerators i.e. LCM of 653,819,407 is 217666449.

GCF of Denominators means GCF of 396,360,855 as per the given fractions.

GCF of 396,360,855 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 653,819,407

LCM of Fractions 653/396,819/360,407/855 is 24185161

Given numbers has no common factors except 1. So, there LCM is their product i.e 217666449

Least Common Multiple of 653,819,407 with GCF Formula

Least Common Multiple of 653,819,407 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 653,819,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,819,407) = 1

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

GCF(653,819,407) x common factors =1 x 1 = 1

LCM(653,819,407) = ( 653 × 819 × 407 ) / 1

LCM(653,819,407) = 217666449 / 1

LCM(653,819,407) = 217666449


Lets's calculate GCF of 396,360,855

3 396, 360, 855
3 132, 120, 285
44, 40, 95

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217666449/9

Therefore the LCM of Fractions 653/396,819/360,407/855 is 24185161

Greatest Common Factor of 396,360,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,360,855 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 396,360,855 . The biggest common factor number is the GCF number.
So the greatest common factor 396,360,855 is 9.


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 653/396, 819/360, 407/855

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 653/396, 819/360, 407/855?

Answer: LCM of Numerators as per given numbers 653/396, 819/360, 407/855 is

LCM of Numerators i.e. for 653,819,407 is 217666449

GCF of denominators i.e. for 396,360,855 is 9.

Thus, LCM of Fractions is 24185161.Finally, LCM of Fractions for 653/396, 819/360, 407/855 is 24185161.