Least Common Multiple of 399/409, 706/720, 452/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 399/409, 706/720, 452/869 quickly i.e. 63662844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 399/409, 706/720, 452/869 is 63662844.

LCM(399/409, 706/720, 452/869) = 63662844

LCM of 399/409, 706/720, 452/869

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 399/409,706/720,452/869

Given numbers are 399/409,706/720,452/869

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 399,706,452

Least Common Multiple of Numerators i.e. LCM of 399,706,452 is 63662844.

GCF of Denominators means GCF of 409,720,869 as per the given fractions.

GCF of 409,720,869 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 399,706,452

LCM of Fractions 399/409,706/720,452/869 is 63662844

2 399, 706, 452
399, 353, 226

∴ So the LCM of the given numbers is 2 x 399 x 353 x 226 = 63662844

Least Common Multiple of 399,706,452 with GCF Formula

Least Common Multiple of 399,706,452 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 399,706,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,706,452) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(399,706,452) x common factors =1 x 2 = 2

LCM(399,706,452) = ( 399 × 706 × 452 ) / 2

LCM(399,706,452) = 127325688 / 2

LCM(399,706,452) = 63662844


Lets's calculate GCF of 409,720,869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63662844/1

Therefore the LCM of Fractions 399/409,706/720,452/869 is 63662844

Greatest Common Factor of 409,720,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,720,869 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 409,720,869 . The biggest common factor number is the GCF number.
So the greatest common factor 409,720,869 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 399/409, 706/720, 452/869

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 399/409, 706/720, 452/869?

Answer: LCM of Numerators as per given numbers 399/409, 706/720, 452/869 is

LCM of Numerators i.e. for 399,706,452 is 63662844

GCF of denominators i.e. for 409,720,869 is 1.

Thus, LCM of Fractions is 63662844.Finally, LCM of Fractions for 399/409, 706/720, 452/869 is 63662844.