Given numbers are 465,933,660,633,210

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

The LCM of 465,933,660,633,210 is 9398239620.

Find LCM of 465,933,660,633,210 with Prime Factorization

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

2 x 3 x 5 x 31 x 311 x 22 x 211 x 7 = 9398239620

Therefore, the lowest common multiple of 465,933,660,633,210 is 9398239620.

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.

465 x 933 x 660 x 633 x 210 = 38062870461000

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.

465 : 1, 3, 5, 15, 31, 93, 155, 465

933 : 1, 3, 311, 933

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

633 : 1, 3, 211, 633

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,933,660,633,210, is 3.

Now, the common factors can be found like this.

465:3x 5x 31

933:3x 311

660:2x 2x 3x 5x 11

633:3x 211

210:2x 3x 5x 7

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

2x 3x 3x 3x 5x 5 = 1350

Therefore, the value for common factors is 1350.

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 = 38062870461000/(3x1350)

LCM = 38062870461000/4050

LCM = 9398239620

Thus, we can understand that the LCM of 465,933,660,633,210 is 9398239620.

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

• LCM of 987, 114, 150, 380, 734
• LCM of 780, 139, 267, 916, 673
• LCM of 321, 225, 222, 362, 995
• LCM of 591, 185, 581, 650, 980
• LCM of 181, 859, 994, 569, 508

1. What is the LCM of 465, 933, 660, 633, 210?

Answer: LCM of 465, 933, 660, 633, 210 is 9398239620.

2. How to calculate the LCM of 465, 933, 660, 633, 210?

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 465, 933, 660, 633, 210.

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}.