Least Common Multiple of 21/960, 94/609, 482/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/960, 94/609, 482/366 quickly i.e. 158578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/960, 94/609, 482/366 is 158578.

LCM(21/960, 94/609, 482/366) = 158578

LCM of 21/960, 94/609, 482/366

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 21/960,94/609,482/366

Given numbers are 21/960,94/609,482/366

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 21,94,482

Least Common Multiple of Numerators i.e. LCM of 21,94,482 is 475734.

GCF of Denominators means GCF of 960,609,366 as per the given fractions.

GCF of 960,609,366 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,94,482

LCM of Fractions 21/960,94/609,482/366 is 158578

2 21, 94, 482
21, 47, 241

∴ So the LCM of the given numbers is 2 x 21 x 47 x 241 = 475734

Least Common Multiple of 21,94,482 with GCF Formula

Least Common Multiple of 21,94,482 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 21,94,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,94,482) = 1

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

GCF(21,94,482) x common factors =1 x 2 = 2

LCM(21,94,482) = ( 21 × 94 × 482 ) / 2

LCM(21,94,482) = 951468 / 2

LCM(21,94,482) = 475734


Lets's calculate GCF of 960,609,366

3 960, 609, 366
320, 203, 122

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 475734/3

Therefore the LCM of Fractions 21/960,94/609,482/366 is 158578

Greatest Common Factor of 960,609,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,609,366 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 960,609,366 . The biggest common factor number is the GCF number.
So the greatest common factor 960,609,366 is 3.


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 21/960, 94/609, 482/366

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 21/960, 94/609, 482/366?

Answer: LCM of Numerators as per given numbers 21/960, 94/609, 482/366 is

LCM of Numerators i.e. for 21,94,482 is 475734

GCF of denominators i.e. for 960,609,366 is 3.

Thus, LCM of Fractions is 158578.Finally, LCM of Fractions for 21/960, 94/609, 482/366 is 158578.