Least Common Multiple of 14/509, 675/381, 517/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/509, 675/381, 517/594 quickly i.e. 4885650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/509, 675/381, 517/594 is 4885650.

LCM(14/509, 675/381, 517/594) = 4885650

LCM of 14/509, 675/381, 517/594

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 14/509,675/381,517/594

Given numbers are 14/509,675/381,517/594

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 14,675,517

Least Common Multiple of Numerators i.e. LCM of 14,675,517 is 4885650.

GCF of Denominators means GCF of 509,381,594 as per the given fractions.

GCF of 509,381,594 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,675,517

LCM of Fractions 14/509,675/381,517/594 is 4885650

Given numbers has no common factors except 1. So, there LCM is their product i.e 4885650

Least Common Multiple of 14,675,517 with GCF Formula

Least Common Multiple of 14,675,517 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 14,675,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,675,517) = 1

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

GCF(14,675,517) x common factors =1 x 1 = 1

LCM(14,675,517) = ( 14 × 675 × 517 ) / 1

LCM(14,675,517) = 4885650 / 1

LCM(14,675,517) = 4885650


Lets's calculate GCF of 509,381,594

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4885650/1

Therefore the LCM of Fractions 14/509,675/381,517/594 is 4885650

Greatest Common Factor of 509,381,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,381,594 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 509,381,594 . The biggest common factor number is the GCF number.
So the greatest common factor 509,381,594 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 14/509, 675/381, 517/594

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 14/509, 675/381, 517/594?

Answer: LCM of Numerators as per given numbers 14/509, 675/381, 517/594 is

LCM of Numerators i.e. for 14,675,517 is 4885650

GCF of denominators i.e. for 509,381,594 is 1.

Thus, LCM of Fractions is 4885650.Finally, LCM of Fractions for 14/509, 675/381, 517/594 is 4885650.