Least Common Multiple of 4/83, 7/82, 80/60, 33/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4/83, 7/82, 80/60, 33/398 quickly i.e. 18480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/83, 7/82, 80/60, 33/398 is 18480.

LCM(4/83, 7/82, 80/60, 33/398) = 18480

LCM of 4/83, 7/82, 80/60, 33/398

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 4/83,7/82,80/60,33/398

Given numbers are 4/83,7/82,80/60,33/398

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 4,7,80,33

Least Common Multiple of Numerators i.e. LCM of 4,7,80,33 is 18480.

GCF of Denominators means GCF of 83,82,60,398 as per the given fractions.

GCF of 83,82,60,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,7,80,33

LCM of Fractions 4/83,7/82,80/60,33/398 is 18480

2 4, 7, 80, 33
2 2, 7, 40, 33
1, 7, 20, 33

∴ So the LCM of the given numbers is 2 x 2 x 1 x 7 x 20 x 33 = 18480

Least Common Multiple of 4,7,80,33 with GCF Formula

Least Common Multiple of 4,7,80,33 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 4,7,80,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,7,80,33) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(4,7,80,33) x common factors =1 x 4 = 4

LCM(4,7,80,33) = ( 4 × 7 × 80 × 33 ) / 4

LCM(4,7,80,33) = 73920 / 4

LCM(4,7,80,33) = 18480


Lets's calculate GCF of 83,82,60,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18480/1

Therefore the LCM of Fractions 4/83,7/82,80/60,33/398 is 18480

Greatest Common Factor of 83,82,60,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,82,60,398 By Matching Biggest Common Factor Method

Factors of 83

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

1,83

Factors of 82

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

1,2,41,82

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 83,82,60,398 . The biggest common factor number is the GCF number.
So the greatest common factor 83,82,60,398 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 4/83, 7/82, 80/60, 33/398

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 4/83, 7/82, 80/60, 33/398?

Answer: LCM of Numerators as per given numbers 4/83, 7/82, 80/60, 33/398 is

LCM of Numerators i.e. for 4,7,80,33 is 18480

GCF of denominators i.e. for 83,82,60,398 is 1.

Thus, LCM of Fractions is 18480.Finally, LCM of Fractions for 4/83, 7/82, 80/60, 33/398 is 18480.