Least Common Multiple of 399/37, 175/87, 539/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 399/37, 175/87, 539/82 quickly i.e. 768075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 399/37, 175/87, 539/82 is 768075.

LCM(399/37, 175/87, 539/82) = 768075

LCM of 399/37, 175/87, 539/82

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 399/37,175/87,539/82

Given numbers are 399/37,175/87,539/82

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 399,175,539

Least Common Multiple of Numerators i.e. LCM of 399,175,539 is 768075.

GCF of Denominators means GCF of 37,87,82 as per the given fractions.

GCF of 37,87,82 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 399,175,539

LCM of Fractions 399/37,175/87,539/82 is 768075

7 399, 175, 539
57, 25, 77

∴ So the LCM of the given numbers is 7 x 57 x 25 x 77 = 768075

Least Common Multiple of 399,175,539 with GCF Formula

Least Common Multiple of 399,175,539 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 399,175,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,175,539) = 7

common factors(in case of two or more numbers have common factors) = 7

GCF(399,175,539) x common factors =7 x 7 = 49

LCM(399,175,539) = ( 399 × 175 × 539 ) / 49

LCM(399,175,539) = 37635675 / 49

LCM(399,175,539) = 768075


Lets's calculate GCF of 37,87,82

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 768075/1

Therefore the LCM of Fractions 399/37,175/87,539/82 is 768075

Greatest Common Factor of 37,87,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,87,82 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 37,87,82 . The biggest common factor number is the GCF number.
So the greatest common factor 37,87,82 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 399/37, 175/87, 539/82

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 399/37, 175/87, 539/82?

Answer: LCM of Numerators as per given numbers 399/37, 175/87, 539/82 is

LCM of Numerators i.e. for 399,175,539 is 768075

GCF of denominators i.e. for 37,87,82 is 1.

Thus, LCM of Fractions is 768075.Finally, LCM of Fractions for 399/37, 175/87, 539/82 is 768075.