Given numbers are 465,388,724,588,633

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

The LCM of 465,388,724,588,633 is 337630590780.

Find LCM of 465,388,724,588,633 with Prime Factorization

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

2 x 2 x 3 x 155 x 97 x 181 x 49 x 211 = 337630590780

Therefore, the lowest common multiple of 465,388,724,588,633 is 337630590780.

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 388 x 724 x 588 x 633 = 48618805072320

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

388 : 1, 2, 4, 97, 194, 388

724 : 1, 2, 4, 181, 362, 724

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

633 : 1, 3, 211, 633

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,388,724,588,633, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

388:2x 2x 97

724:2x 2x 181

588:2x 2x 3x 7x 7

633:3x 211

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 48618805072320/(1x144)

LCM = 48618805072320/144

LCM = 337630590780

Thus, we can understand that the LCM of 465,388,724,588,633 is 337630590780.

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

• LCM of 736, 988, 909, 213, 590
• LCM of 417, 416, 678, 678, 695
• LCM of 931, 219, 730, 879, 185
• LCM of 539, 763, 901, 768, 309
• LCM of 789, 768, 863, 213, 131

1. What is the LCM of 465, 388, 724, 588, 633?

Answer: LCM of 465, 388, 724, 588, 633 is 337630590780.

2. How to calculate the LCM of 465, 388, 724, 588, 633?

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, 388, 724, 588, 633.

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}.