Given numbers are 198,782,832,442

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

The LCM of 198,782,832,442 is 32205888.

Find LCM of 198,782,832,442 with Prime Factorization

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

2 x 13 x 17 x 99 x 23 x 32 x 1 = 32205888

Therefore, the lowest common multiple of 198,782,832,442 is 32205888.

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.

198 x 782 x 832 x 442 = 56940009984

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

782 : 1, 2, 17, 23, 34, 46, 391, 782

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

442 : 1, 2, 13, 17, 26, 34, 221, 442

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,782,832,442, is 2.

Now, the common factors can be found like this.

198:2x 3x 3x 11

782:2x 17x 23

832:2x 2x 2x 2x 2x 2x 13

442:2x 13x 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 2x 13x 17 = 884

Therefore, the value for common factors is 884.

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 = 56940009984/(2x884)

LCM = 56940009984/1768

LCM = 32205888

Thus, we can understand that the LCM of 198,782,832,442 is 32205888.

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

• LCM of 244, 509, 377, 698
• LCM of 750, 172, 901, 239
• LCM of 521, 654, 732, 507
• LCM of 899, 576, 474, 913
• LCM of 699, 500, 280, 355

1. What is the LCM of 198, 782, 832, 442?

Answer: LCM of 198, 782, 832, 442 is 32205888.

2. How to calculate the LCM of 198, 782, 832, 442?

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 198, 782, 832, 442.

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}.