Least Common Multiple of 399/13, 589/83, 624/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 399/13, 589/83, 624/706 quickly i.e. 2572752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 399/13, 589/83, 624/706 is 2572752.

LCM(399/13, 589/83, 624/706) = 2572752

LCM of 399/13, 589/83, 624/706

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 399/13,589/83,624/706

Given numbers are 399/13,589/83,624/706

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 399,589,624

Least Common Multiple of Numerators i.e. LCM of 399,589,624 is 2572752.

GCF of Denominators means GCF of 13,83,706 as per the given fractions.

GCF of 13,83,706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 399,589,624

LCM of Fractions 399/13,589/83,624/706 is 2572752

3 399, 589, 624
19 133, 589, 208
7, 31, 208

∴ So the LCM of the given numbers is 3 x 19 x 7 x 31 x 208 = 2572752

Least Common Multiple of 399,589,624 with GCF Formula

Least Common Multiple of 399,589,624 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 399,589,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,589,624) = 1

common factors(in case of two or more numbers have common factors) = 57

GCF(399,589,624) x common factors =1 x 57 = 57

LCM(399,589,624) = ( 399 × 589 × 624 ) / 57

LCM(399,589,624) = 146646864 / 57

LCM(399,589,624) = 2572752


Lets's calculate GCF of 13,83,706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2572752/1

Therefore the LCM of Fractions 399/13,589/83,624/706 is 2572752

Greatest Common Factor of 13,83,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,83,706 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 13,83,706 . The biggest common factor number is the GCF number.
So the greatest common factor 13,83,706 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 399/13, 589/83, 624/706

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 399/13, 589/83, 624/706?

Answer: LCM of Numerators as per given numbers 399/13, 589/83, 624/706 is

LCM of Numerators i.e. for 399,589,624 is 2572752

GCF of denominators i.e. for 13,83,706 is 1.

Thus, LCM of Fractions is 2572752.Finally, LCM of Fractions for 399/13, 589/83, 624/706 is 2572752.