Least Common Multiple of 407/13, 572/82, 947/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 407/13, 572/82, 947/395 quickly i.e. 20042308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/13, 572/82, 947/395 is 20042308.

LCM(407/13, 572/82, 947/395) = 20042308

LCM of 407/13, 572/82, 947/395

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 407/13,572/82,947/395

Given numbers are 407/13,572/82,947/395

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 407,572,947

Least Common Multiple of Numerators i.e. LCM of 407,572,947 is 20042308.

GCF of Denominators means GCF of 13,82,395 as per the given fractions.

GCF of 13,82,395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,572,947

LCM of Fractions 407/13,572/82,947/395 is 20042308

11 407, 572, 947
37, 52, 947

∴ So the LCM of the given numbers is 11 x 37 x 52 x 947 = 20042308

Least Common Multiple of 407,572,947 with GCF Formula

Least Common Multiple of 407,572,947 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 407,572,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,572,947) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(407,572,947) x common factors =1 x 11 = 11

LCM(407,572,947) = ( 407 × 572 × 947 ) / 11

LCM(407,572,947) = 220465388 / 11

LCM(407,572,947) = 20042308


Lets's calculate GCF of 13,82,395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20042308/1

Therefore the LCM of Fractions 407/13,572/82,947/395 is 20042308

Greatest Common Factor of 13,82,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,82,395 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 82

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

1,2,41,82

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 13,82,395 . The biggest common factor number is the GCF number.
So the greatest common factor 13,82,395 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 407/13, 572/82, 947/395

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 407/13, 572/82, 947/395?

Answer: LCM of Numerators as per given numbers 407/13, 572/82, 947/395 is

LCM of Numerators i.e. for 407,572,947 is 20042308

GCF of denominators i.e. for 13,82,395 is 1.

Thus, LCM of Fractions is 20042308.Finally, LCM of Fractions for 407/13, 572/82, 947/395 is 20042308.