Least Common Multiple of 519/802, 315/658, 382/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 519/802, 315/658, 382/301 quickly i.e. 20817090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 519/802, 315/658, 382/301 is 20817090.

LCM(519/802, 315/658, 382/301) = 20817090

LCM of 519/802, 315/658, 382/301

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 519/802,315/658,382/301

Given numbers are 519/802,315/658,382/301

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 519,315,382

Least Common Multiple of Numerators i.e. LCM of 519,315,382 is 20817090.

GCF of Denominators means GCF of 802,658,301 as per the given fractions.

GCF of 802,658,301 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 519,315,382

LCM of Fractions 519/802,315/658,382/301 is 20817090

3 519, 315, 382
173, 105, 382

∴ So the LCM of the given numbers is 3 x 173 x 105 x 382 = 20817090

Least Common Multiple of 519,315,382 with GCF Formula

Least Common Multiple of 519,315,382 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 519,315,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,315,382) = 1

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

GCF(519,315,382) x common factors =1 x 3 = 3

LCM(519,315,382) = ( 519 × 315 × 382 ) / 3

LCM(519,315,382) = 62451270 / 3

LCM(519,315,382) = 20817090


Lets's calculate GCF of 802,658,301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20817090/1

Therefore the LCM of Fractions 519/802,315/658,382/301 is 20817090

Greatest Common Factor of 802,658,301 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,658,301 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Greatest Common Factor

We found the factors 802,658,301 . The biggest common factor number is the GCF number.
So the greatest common factor 802,658,301 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 519/802, 315/658, 382/301

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 519/802, 315/658, 382/301?

Answer: LCM of Numerators as per given numbers 519/802, 315/658, 382/301 is

LCM of Numerators i.e. for 519,315,382 is 20817090

GCF of denominators i.e. for 802,658,301 is 1.

Thus, LCM of Fractions is 20817090.Finally, LCM of Fractions for 519/802, 315/658, 382/301 is 20817090.