Least Common Multiple of 514/69, 217/3084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/69, 217/3084 quickly i.e. 111538/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/69, 217/3084 is 111538/3.

LCM(514/69, 217/3084) = 111538/3

LCM of 514/69, 217/3084

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 514/69,217/3084

Given numbers are 514/69,217/3084

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 514,217

Least Common Multiple of Numerators i.e. LCM of 514,217 is 111538.

GCF of Denominators means GCF of 69,3084 as per the given fractions.

GCF of 69,3084 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,217

LCM of Fractions 514/69,217/3084 is 111538/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 111538

Least Common Multiple of 514,217 with GCF Formula

Least Common Multiple of 514,217 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 514,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,217) = 1

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

GCF(514,217) x common factors =1 x 1 = 1

LCM(514,217) = ( 514 × 217 ) / 1

LCM(514,217) = 111538 / 1

LCM(514,217) = 111538


Lets's calculate GCF of 69,3084

3 69, 3084
23, 1028

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111538/3

Therefore the LCM of Fractions 514/69,217/3084 is 111538/3

Greatest Common Factor of 69,3084 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,3084 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 3084

List of positive integer factors of 3084 that divides 3084 without a remainder.

1,2,3,4,6,12,257,514,771,1028,1542,3084

Greatest Common Factor

We found the factors 69,3084 . The biggest common factor number is the GCF number.
So the greatest common factor 69,3084 is 3.


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 514/69, 217/3084

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 514/69, 217/3084?

Answer: LCM of Numerators as per given numbers 514/69, 217/3084 is

LCM of Numerators i.e. for 514,217 is 111538

GCF of denominators i.e. for 69,3084 is 3.

Thus, LCM of Fractions is 111538/3.Finally, LCM of Fractions for 514/69, 217/3084 is 111538/3.