Least Common Multiple of 40/53, 30/47, 83/44, 82/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/53, 30/47, 83/44, 82/389 quickly i.e. 408360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/53, 30/47, 83/44, 82/389 is 408360.

LCM(40/53, 30/47, 83/44, 82/389) = 408360

LCM of 40/53, 30/47, 83/44, 82/389

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 40/53,30/47,83/44,82/389

Given numbers are 40/53,30/47,83/44,82/389

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 40,30,83,82

Least Common Multiple of Numerators i.e. LCM of 40,30,83,82 is 408360.

GCF of Denominators means GCF of 53,47,44,389 as per the given fractions.

GCF of 53,47,44,389 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,30,83,82

LCM of Fractions 40/53,30/47,83/44,82/389 is 408360

2 40, 30, 83, 82
5 20, 15, 83, 41
4, 3, 83, 41

∴ So the LCM of the given numbers is 2 x 5 x 4 x 3 x 83 x 41 = 408360

Least Common Multiple of 40,30,83,82 with GCF Formula

Least Common Multiple of 40,30,83,82 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 40,30,83,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,30,83,82) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(40,30,83,82) x common factors =1 x 20 = 20

LCM(40,30,83,82) = ( 40 × 30 × 83 × 82 ) / 20

LCM(40,30,83,82) = 8167200 / 20

LCM(40,30,83,82) = 408360


Lets's calculate GCF of 53,47,44,389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408360/1

Therefore the LCM of Fractions 40/53,30/47,83/44,82/389 is 408360

Greatest Common Factor of 53,47,44,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,47,44,389 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 53,47,44,389 . The biggest common factor number is the GCF number.
So the greatest common factor 53,47,44,389 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 40/53, 30/47, 83/44, 82/389

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 40/53, 30/47, 83/44, 82/389?

Answer: LCM of Numerators as per given numbers 40/53, 30/47, 83/44, 82/389 is

LCM of Numerators i.e. for 40,30,83,82 is 408360

GCF of denominators i.e. for 53,47,44,389 is 1.

Thus, LCM of Fractions is 408360.Finally, LCM of Fractions for 40/53, 30/47, 83/44, 82/389 is 408360.