Least Common Multiple of 513/40, 396/39, 912/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 513/40, 396/39, 912/475 quickly i.e. 90288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/40, 396/39, 912/475 is 90288.

LCM(513/40, 396/39, 912/475) = 90288

LCM of 513/40, 396/39, 912/475

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 513/40,396/39,912/475

Given numbers are 513/40,396/39,912/475

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 513,396,912

Least Common Multiple of Numerators i.e. LCM of 513,396,912 is 90288.

GCF of Denominators means GCF of 40,39,475 as per the given fractions.

GCF of 40,39,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,396,912

LCM of Fractions 513/40,396/39,912/475 is 90288

2 513, 396, 912
2 513, 198, 456
3 513, 99, 228
3 171, 33, 76
19 57, 11, 76
3, 11, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 19 x 3 x 11 x 4 = 90288

Least Common Multiple of 513,396,912 with GCF Formula

Least Common Multiple of 513,396,912 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 513,396,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,396,912) = 3

common factors(in case of two or more numbers have common factors) = 684

GCF(513,396,912) x common factors =3 x 684 = 2052

LCM(513,396,912) = ( 513 × 396 × 912 ) / 2052

LCM(513,396,912) = 185270976 / 2052

LCM(513,396,912) = 90288


Lets's calculate GCF of 40,39,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90288/1

Therefore the LCM of Fractions 513/40,396/39,912/475 is 90288

Greatest Common Factor of 40,39,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,39,475 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 40,39,475 . The biggest common factor number is the GCF number.
So the greatest common factor 40,39,475 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 513/40, 396/39, 912/475

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 513/40, 396/39, 912/475?

Answer: LCM of Numerators as per given numbers 513/40, 396/39, 912/475 is

LCM of Numerators i.e. for 513,396,912 is 90288

GCF of denominators i.e. for 40,39,475 is 1.

Thus, LCM of Fractions is 90288.Finally, LCM of Fractions for 513/40, 396/39, 912/475 is 90288.