Given numbers are 440,305,552,575,461

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

The LCM of 440,305,552,575,461 is 4268767800.

Find LCM of 440,305,552,575,461 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 11 x 61 x 3 x 5 x 461 = 4268767800

Therefore, the lowest common multiple of 440,305,552,575,461 is 4268767800.

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.

440 x 305 x 552 x 575 x 461 = 19636331880000

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

305 : 1, 5, 61, 305

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

575 : 1, 5, 23, 25, 115, 575

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,305,552,575,461, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

305:5x 61

552:2x 2x 2x 3x 23

575:5x 5x 23

461:461

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 5x 5x 23 = 4600

Therefore, the value for common factors is 4600.

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 = 19636331880000/(1x4600)

LCM = 19636331880000/4600

LCM = 4268767800

Thus, we can understand that the LCM of 440,305,552,575,461 is 4268767800.

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

• LCM of 235, 609, 175, 820, 768
• LCM of 343, 332, 660, 236, 656
• LCM of 789, 822, 879, 655, 194
• LCM of 690, 980, 834, 444, 490
• LCM of 203, 745, 262, 611, 300

1. What is the LCM of 440, 305, 552, 575, 461?

Answer: LCM of 440, 305, 552, 575, 461 is 4268767800.

2. How to calculate the LCM of 440, 305, 552, 575, 461?

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 440, 305, 552, 575, 461.

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}.