Given numbers are 446,362,724,364

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

The LCM of 446,362,724,364 is 14692132.

Find LCM of 446,362,724,364 with Prime Factorization

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

2 x 2 x 181 x 223 x 1 x 1 x 91 = 14692132

Therefore, the lowest common multiple of 446,362,724,364 is 14692132.

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 362 x 724 x 364 = 42548414272

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

362 : 1, 2, 181, 362

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,362,724,364, is 2.

Now, the common factors can be found like this.

446:2x 223

362:2x 181

724:2x 2x 181

364:2x 2x 7x 13

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 181 = 1448

Therefore, the value for common factors is 1448.

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 = 42548414272/(2x1448)

LCM = 42548414272/2896

LCM = 14692132

Thus, we can understand that the LCM of 446,362,724,364 is 14692132.

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

• LCM of 265, 346, 500, 872
• LCM of 385, 259, 359, 287
• LCM of 261, 182, 171, 234
• LCM of 258, 872, 685, 768
• LCM of 540, 122, 737, 385

1. What is the LCM of 446, 362, 724, 364?

Answer: LCM of 446, 362, 724, 364 is 14692132.

2. How to calculate the LCM of 446, 362, 724, 364?

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, 362, 724, 364.

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}.