Given numbers are 444,588,428,408,511

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

The LCM of 444,588,428,408,511 is 5777827944.

Find LCM of 444,588,428,408,511 with Prime Factorization

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

2 x 2 x 3 x 7 x 37 x 7 x 107 x 34 x 73 = 5777827944

Therefore, the lowest common multiple of 444,588,428,408,511 is 5777827944.

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 588 x 428 x 408 x 511 = 23296202270208

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

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

428 : 1, 2, 4, 107, 214, 428

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

511 : 1, 7, 73, 511

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,588,428,408,511, is 1.

Now, the common factors can be found like this.

444:2x 2x 3x 37

588:2x 2x 3x 7x 7

428:2x 2x 107

408:2x 2x 2x 3x 17

511:7x 73

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 2x 2x 2x 3x 3x 7 = 4032

Therefore, the value for common factors is 4032.

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 = 23296202270208/(1x4032)

LCM = 23296202270208/4032

LCM = 5777827944

Thus, we can understand that the LCM of 444,588,428,408,511 is 5777827944.

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

• LCM of 426, 285, 967, 213, 185
• LCM of 574, 861, 750, 683, 889
• LCM of 332, 209, 437, 894, 118
• LCM of 352, 543, 875, 100, 300
• LCM of 696, 715, 597, 868, 124

1. What is the LCM of 444, 588, 428, 408, 511?

Answer: LCM of 444, 588, 428, 408, 511 is 5777827944.

2. How to calculate the LCM of 444, 588, 428, 408, 511?

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, 588, 428, 408, 511.

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}.