Given numbers are 362,380,446,933

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

The LCM of 362,380,446,933 is 14310298020.

Find LCM of 362,380,446,933 with Prime Factorization

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

2 x 181 x 190 x 223 x 933 = 14310298020

Therefore, the lowest common multiple of 362,380,446,933 is 14310298020.

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.

362 x 380 x 446 x 933 = 57241192080

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.

362 : 1, 2, 181, 362

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

446 : 1, 2, 223, 446

933 : 1, 3, 311, 933

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,380,446,933, is 1.

Now, the common factors can be found like this.

362:2x 181

380:2x 2x 5x 19

446:2x 223

933:3x 311

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 = 57241192080/(1x4)

LCM = 57241192080/4

LCM = 14310298020

Thus, we can understand that the LCM of 362,380,446,933 is 14310298020.

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

• LCM of 730, 840, 308, 319
• LCM of 730, 959, 984, 678
• LCM of 432, 813, 704, 688
• LCM of 202, 557, 257, 746
• LCM of 536, 144, 139, 514

1. What is the LCM of 362, 380, 446, 933?

Answer: LCM of 362, 380, 446, 933 is 14310298020.

2. How to calculate the LCM of 362, 380, 446, 933?

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 362, 380, 446, 933.

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}.