Given numbers are 444,351,507,793,936

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

The LCM of 444,351,507,793,936 is 82389528.

Find LCM of 444,351,507,793,936 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 37 x 3 x 13 x 61 x 2 = 82389528

Therefore, the lowest common multiple of 444,351,507,793,936 is 82389528.

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.

444 x 351 x 507 x 793 x 936 = 58647172937184

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.

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

351 : 1, 3, 9, 13, 27, 39, 117, 351

507 : 1, 3, 13, 39, 169, 507

793 : 1, 13, 61, 793

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,351,507,793,936, is 1.

Now, the common factors can be found like this.

444:2x 2x 3x 37

351:3x 3x 3x 13

507:3x 13x 13

793:13x 61

936:2x 2x 2x 3x 3x 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 3x 3x 3x 3x 13x 13x 13 = 711828

Therefore, the value for common factors is 711828.

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 = 58647172937184/(1x711828)

LCM = 58647172937184/711828

LCM = 82389528

Thus, we can understand that the LCM of 444,351,507,793,936 is 82389528.

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

• LCM of 351, 505, 824, 940, 121
• LCM of 216, 565, 626, 405, 297
• LCM of 730, 406, 487, 883, 664
• LCM of 421, 706, 786, 283, 723
• LCM of 638, 769, 499, 208, 195

1. What is the LCM of 444, 351, 507, 793, 936?

Answer: LCM of 444, 351, 507, 793, 936 is 82389528.

2. How to calculate the LCM of 444, 351, 507, 793, 936?

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 444, 351, 507, 793, 936.

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}.