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LCM of 442, 565, 493, 443

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 442, 565, 493, 443 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 442, 565, 493, 443. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,565,493,443

Given numbers are 442,565,493,443

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 442,565,493,443 is 3208281310.

Find LCM of 442,565,493,443 with Prime Factorization


17 442, 565, 493, 443
26, 565, 29, 443

Multiply the prime numbers at the bottom and the left side.

17 x 26 x 565 x 29 x 443 = 3208281310

Therefore, the lowest common multiple of 442,565,493,443 is 3208281310.

LCM Formula to Find Lowest Common Multiple of 442,565,493,443

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

442 x 565 x 493 x 443 = 54540782270

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

442 : 1, 2, 13, 17, 26, 34, 221, 442

565 : 1, 5, 113, 565

493 : 1, 17, 29, 493

443 : 1, 443

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,565,493,443, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

565:5x 113

493:17x 29

443:443

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

17 = 17

Therefore, the value for common factors is 17.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 54540782270/(1x17)

LCM = 54540782270/17

LCM = 3208281310

Thus, we can understand that the LCM of 442,565,493,443 is 3208281310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 565, 493, 443

1. What is the LCM of 442, 565, 493, 443?

Answer: LCM of 442, 565, 493, 443 is 3208281310.

2. How to calculate the LCM of 442, 565, 493, 443?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 442, 565, 493, 443.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.