Given numbers are 984,406,443,638,646

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

The LCM of 984,406,443,638,646 is 314405453208.

Find LCM of 984,406,443,638,646 with Prime Factorization

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

2 x 29 x 492 x 7 x 443 x 11 x 323 = 314405453208

Therefore, the lowest common multiple of 984,406,443,638,646 is 314405453208.

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.

984 x 406 x 443 x 638 x 646 = 72942065144256

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.

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

406 : 1, 2, 7, 14, 29, 58, 203, 406

443 : 1, 443

638 : 1, 2, 11, 22, 29, 58, 319, 638

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,406,443,638,646, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

406:2x 7x 29

443:443

638:2x 11x 29

646:2x 17x 19

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 29 = 232

Therefore, the value for common factors is 232.

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 = 72942065144256/(1x232)

LCM = 72942065144256/232

LCM = 314405453208

Thus, we can understand that the LCM of 984,406,443,638,646 is 314405453208.

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

• LCM of 558, 590, 249, 774, 705
• LCM of 151, 380, 708, 982, 603
• LCM of 490, 228, 834, 290, 575
• LCM of 164, 362, 654, 114, 645
• LCM of 287, 182, 209, 474, 679

1. What is the LCM of 984, 406, 443, 638, 646?

Answer: LCM of 984, 406, 443, 638, 646 is 314405453208.

2. How to calculate the LCM of 984, 406, 443, 638, 646?

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 984, 406, 443, 638, 646.

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}.