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LCM of 446, 442, 589, 536

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


Find the LCM of 446, 442, 589, 536 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 446, 442, 589, 536. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 446,442,589,536

Given numbers are 446,442,589,536

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

The LCM of 446,442,589,536 is 15558840232.

Find LCM of 446,442,589,536 with Prime Factorization


2 446, 442, 589, 536
223, 221, 589, 268

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

2 x 223 x 221 x 589 x 268 = 15558840232

Therefore, the lowest common multiple of 446,442,589,536 is 15558840232.

LCM Formula to Find Lowest Common Multiple of 446,442,589,536

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.

446 x 442 x 589 x 536 = 62235360928

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.

446 : 1, 2, 223, 446

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

589 : 1, 19, 31, 589

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,442,589,536, is 1.

Now, the common factors can be found like this.

446:2x 223

442:2x 13x 17

589:19x 31

536:2x 2x 2x 67

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 62235360928/(1x4)

LCM = 62235360928/4

LCM = 15558840232

Thus, we can understand that the LCM of 446,442,589,536 is 15558840232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 446, 442, 589, 536

1. What is the LCM of 446, 442, 589, 536?

Answer: LCM of 446, 442, 589, 536 is 15558840232.

2. How to calculate the LCM of 446, 442, 589, 536?

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 446, 442, 589, 536.

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}.