Given numbers are 494,16,629,646

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

The LCM of 494,16,629,646 is 2485808.

Find LCM of 494,16,629,646 with Prime Factorization

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

2 x 17 x 19 x 13 x 8 x 37 x 1 = 2485808

Therefore, the lowest common multiple of 494,16,629,646 is 2485808.

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.

494 x 16 x 629 x 646 = 3211663936

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

16 : 1, 2, 4, 8, 16

629 : 1, 17, 37, 629

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 494,16,629,646, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

16:2x 2x 2x 2

629:17x 37

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 17x 19 = 1292

Therefore, the value for common factors is 1292.

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 = 3211663936/(1x1292)

LCM = 3211663936/1292

LCM = 2485808

Thus, we can understand that the LCM of 494,16,629,646 is 2485808.

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

• LCM of 351, 92, 649, 772
• LCM of 196, 15, 848, 778
• LCM of 710, 42, 729, 328
• LCM of 897, 82, 595, 208
• LCM of 981, 72, 882, 565

1. What is the LCM of 494, 16, 629, 646?

Answer: LCM of 494, 16, 629, 646 is 2485808.

2. How to calculate the LCM of 494, 16, 629, 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 494, 16, 629, 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}.