Least Common Multiple of 519/69, 818/71, 756/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 519/69, 818/71, 756/30 quickly i.e. 53492292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 519/69, 818/71, 756/30 is 53492292.

LCM(519/69, 818/71, 756/30) = 53492292

LCM of 519/69, 818/71, 756/30

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 519/69,818/71,756/30

Given numbers are 519/69,818/71,756/30

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 519,818,756

Least Common Multiple of Numerators i.e. LCM of 519,818,756 is 53492292.

GCF of Denominators means GCF of 69,71,30 as per the given fractions.

GCF of 69,71,30 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 519,818,756

LCM of Fractions 519/69,818/71,756/30 is 53492292

2 519, 818, 756
3 519, 409, 378
173, 409, 126

∴ So the LCM of the given numbers is 2 x 3 x 173 x 409 x 126 = 53492292

Least Common Multiple of 519,818,756 with GCF Formula

Least Common Multiple of 519,818,756 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 519,818,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,818,756) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(519,818,756) x common factors =1 x 6 = 6

LCM(519,818,756) = ( 519 × 818 × 756 ) / 6

LCM(519,818,756) = 320953752 / 6

LCM(519,818,756) = 53492292


Lets's calculate GCF of 69,71,30

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53492292/1

Therefore the LCM of Fractions 519/69,818/71,756/30 is 53492292

Greatest Common Factor of 69,71,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,71,30 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 69,71,30 . The biggest common factor number is the GCF number.
So the greatest common factor 69,71,30 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 519/69, 818/71, 756/30

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 519/69, 818/71, 756/30?

Answer: LCM of Numerators as per given numbers 519/69, 818/71, 756/30 is

LCM of Numerators i.e. for 519,818,756 is 53492292

GCF of denominators i.e. for 69,71,30 is 1.

Thus, LCM of Fractions is 53492292.Finally, LCM of Fractions for 519/69, 818/71, 756/30 is 53492292.