Least Common Multiple of 132/396, 669/468, 593/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 132/396, 669/468, 593/315 quickly i.e. 17455548/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 132/396, 669/468, 593/315 is 17455548/9.

LCM(132/396, 669/468, 593/315) = 17455548/9

LCM of 132/396, 669/468, 593/315

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 132/396,669/468,593/315

Given numbers are 132/396,669/468,593/315

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 132,669,593

Least Common Multiple of Numerators i.e. LCM of 132,669,593 is 17455548.

GCF of Denominators means GCF of 396,468,315 as per the given fractions.

GCF of 396,468,315 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 132,669,593

LCM of Fractions 132/396,669/468,593/315 is 17455548/9

3 132, 669, 593
44, 223, 593

∴ So the LCM of the given numbers is 3 x 44 x 223 x 593 = 17455548

Least Common Multiple of 132,669,593 with GCF Formula

Least Common Multiple of 132,669,593 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 132,669,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,669,593) = 1

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

GCF(132,669,593) x common factors =1 x 3 = 3

LCM(132,669,593) = ( 132 × 669 × 593 ) / 3

LCM(132,669,593) = 52366644 / 3

LCM(132,669,593) = 17455548


Lets's calculate GCF of 396,468,315

3 396, 468, 315
3 132, 156, 105
44, 52, 35

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17455548/9

Therefore the LCM of Fractions 132/396,669/468,593/315 is 17455548/9

Greatest Common Factor of 396,468,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,468,315 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 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 396,468,315 . The biggest common factor number is the GCF number.
So the greatest common factor 396,468,315 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 132/396, 669/468, 593/315

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 132/396, 669/468, 593/315?

Answer: LCM of Numerators as per given numbers 132/396, 669/468, 593/315 is

LCM of Numerators i.e. for 132,669,593 is 17455548

GCF of denominators i.e. for 396,468,315 is 9.

Thus, LCM of Fractions is 17455548/9.Finally, LCM of Fractions for 132/396, 669/468, 593/315 is 17455548/9.