Least Common Multiple of 539/345, 514/485, 299/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 539/345, 514/485, 299/362 quickly i.e. 82836754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 539/345, 514/485, 299/362 is 82836754.

LCM(539/345, 514/485, 299/362) = 82836754

LCM of 539/345, 514/485, 299/362

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 539/345,514/485,299/362

Given numbers are 539/345,514/485,299/362

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 539,514,299

Least Common Multiple of Numerators i.e. LCM of 539,514,299 is 82836754.

GCF of Denominators means GCF of 345,485,362 as per the given fractions.

GCF of 345,485,362 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 539,514,299

LCM of Fractions 539/345,514/485,299/362 is 82836754

Given numbers has no common factors except 1. So, there LCM is their product i.e 82836754

Least Common Multiple of 539,514,299 with GCF Formula

Least Common Multiple of 539,514,299 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 539,514,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,514,299) = 1

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

GCF(539,514,299) x common factors =1 x 1 = 1

LCM(539,514,299) = ( 539 × 514 × 299 ) / 1

LCM(539,514,299) = 82836754 / 1

LCM(539,514,299) = 82836754


Lets's calculate GCF of 345,485,362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82836754/1

Therefore the LCM of Fractions 539/345,514/485,299/362 is 82836754

Greatest Common Factor of 345,485,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,485,362 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 345,485,362 . The biggest common factor number is the GCF number.
So the greatest common factor 345,485,362 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 539/345, 514/485, 299/362

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 539/345, 514/485, 299/362?

Answer: LCM of Numerators as per given numbers 539/345, 514/485, 299/362 is

LCM of Numerators i.e. for 539,514,299 is 82836754

GCF of denominators i.e. for 345,485,362 is 1.

Thus, LCM of Fractions is 82836754.Finally, LCM of Fractions for 539/345, 514/485, 299/362 is 82836754.