Given numbers are 446,432,221,412

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

The LCM of 446,432,221,412 is 2192896368.

Find LCM of 446,432,221,412 with Prime Factorization

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

2 x 2 x 223 x 108 x 221 x 103 = 2192896368

Therefore, the lowest common multiple of 446,432,221,412 is 2192896368.

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 432 x 221 x 412 = 17543170944

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

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

221 : 1, 13, 17, 221

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,432,221,412, is 1.

Now, the common factors can be found like this.

446:2x 223

432:2x 2x 2x 2x 3x 3x 3

221:13x 17

412:2x 2x 103

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 2 = 8

Therefore, the value for common factors is 8.

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 = 17543170944/(1x8)

LCM = 17543170944/8

LCM = 2192896368

Thus, we can understand that the LCM of 446,432,221,412 is 2192896368.

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

• LCM of 382, 563, 184, 254
• LCM of 155, 852, 207, 697
• LCM of 500, 403, 789, 376
• LCM of 354, 302, 257, 682
• LCM of 368, 640, 441, 983

1. What is the LCM of 446, 432, 221, 412?

Answer: LCM of 446, 432, 221, 412 is 2192896368.

2. How to calculate the LCM of 446, 432, 221, 412?

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, 432, 221, 412.

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}.