Given numbers are 363,201,635,580,528

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

The LCM of 363,201,635,580,528 is 7165939440.

Find LCM of 363,201,635,580,528 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 11 x 67 x 127 x 29 x 4 = 7165939440

Therefore, the lowest common multiple of 363,201,635,580,528 is 7165939440.

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.

363 x 201 x 635 x 580 x 528 = 14188560091200

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.

363 : 1, 3, 11, 33, 121, 363

201 : 1, 3, 67, 201

635 : 1, 5, 127, 635

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,201,635,580,528, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

201:3x 67

635:5x 127

580:2x 2x 5x 29

528:2x 2x 2x 2x 3x 11

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

2x 2x 3x 3x 5x 11 = 1980

Therefore, the value for common factors is 1980.

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 = 14188560091200/(1x1980)

LCM = 14188560091200/1980

LCM = 7165939440

Thus, we can understand that the LCM of 363,201,635,580,528 is 7165939440.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 482, 490, 809, 732, 627
• LCM of 700, 612, 649, 596, 159
• LCM of 737, 253, 497, 927, 434
• LCM of 128, 968, 837, 761, 842
• LCM of 299, 827, 449, 881, 225

1. What is the LCM of 363, 201, 635, 580, 528?

Answer: LCM of 363, 201, 635, 580, 528 is 7165939440.

2. How to calculate the LCM of 363, 201, 635, 580, 528?

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 363, 201, 635, 580, 528.

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}.