Given numbers are 446,321,464,374

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

The LCM of 446,321,464,374 is 6211113744.

Find LCM of 446,321,464,374 with Prime Factorization

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

2 x 223 x 321 x 232 x 187 = 6211113744

Therefore, the lowest common multiple of 446,321,464,374 is 6211113744.

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 321 x 464 x 374 = 24844454976

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

321 : 1, 3, 107, 321

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,321,464,374, is 1.

Now, the common factors can be found like this.

446:2x 223

321:3x 107

464:2x 2x 2x 2x 29

374:2x 11x 17

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 = 24844454976/(1x4)

LCM = 24844454976/4

LCM = 6211113744

Thus, we can understand that the LCM of 446,321,464,374 is 6211113744.

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

• LCM of 401, 156, 441, 447
• LCM of 822, 356, 487, 833
• LCM of 730, 762, 826, 924
• LCM of 873, 438, 848, 496
• LCM of 893, 993, 713, 414

1. What is the LCM of 446, 321, 464, 374?

Answer: LCM of 446, 321, 464, 374 is 6211113744.

2. How to calculate the LCM of 446, 321, 464, 374?

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, 321, 464, 374.

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}.