Least Common Multiple of 89/412, 213/820, 594/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/412, 213/820, 594/320 quickly i.e. 3753486/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/412, 213/820, 594/320 is 3753486/4.

LCM(89/412, 213/820, 594/320) = 3753486/4

LCM of 89/412, 213/820, 594/320

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 89/412,213/820,594/320

Given numbers are 89/412,213/820,594/320

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 89,213,594

Least Common Multiple of Numerators i.e. LCM of 89,213,594 is 3753486.

GCF of Denominators means GCF of 412,820,320 as per the given fractions.

GCF of 412,820,320 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,213,594

LCM of Fractions 89/412,213/820,594/320 is 3753486/4

3 89, 213, 594
89, 71, 198

∴ So the LCM of the given numbers is 3 x 89 x 71 x 198 = 3753486

Least Common Multiple of 89,213,594 with GCF Formula

Least Common Multiple of 89,213,594 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 89,213,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,213,594) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(89,213,594) x common factors =1 x 3 = 3

LCM(89,213,594) = ( 89 × 213 × 594 ) / 3

LCM(89,213,594) = 11260458 / 3

LCM(89,213,594) = 3753486


Lets's calculate GCF of 412,820,320

2 412, 820, 320
2 206, 410, 160
103, 205, 80

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3753486/4

Therefore the LCM of Fractions 89/412,213/820,594/320 is 3753486/4

Greatest Common Factor of 412,820,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,820,320 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 412,820,320 . The biggest common factor number is the GCF number.
So the greatest common factor 412,820,320 is 4.


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 89/412, 213/820, 594/320

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 89/412, 213/820, 594/320?

Answer: LCM of Numerators as per given numbers 89/412, 213/820, 594/320 is

LCM of Numerators i.e. for 89,213,594 is 3753486

GCF of denominators i.e. for 412,820,320 is 4.

Thus, LCM of Fractions is 3753486/4.Finally, LCM of Fractions for 89/412, 213/820, 594/320 is 3753486/4.