Given numbers are 493,504,832,291,408

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

The LCM of 493,504,832,291,408 is 2506585536.

Find LCM of 493,504,832,291,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 29 x 21 x 104 x 97 x 1 = 2506585536

Therefore, the lowest common multiple of 493,504,832,291,408 is 2506585536.

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.

493 x 504 x 832 x 291 x 408 = 24544485568512

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.

493 : 1, 17, 29, 493

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

291 : 1, 3, 97, 291

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,504,832,291,408, is 1.

Now, the common factors can be found like this.

493:17x 29

504:2x 2x 2x 3x 3x 7

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

291:3x 97

408:2x 2x 2x 3x 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 2x 2x 2x 2x 3x 3x 17 = 9792

Therefore, the value for common factors is 9792.

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 = 24544485568512/(1x9792)

LCM = 24544485568512/9792

LCM = 2506585536

Thus, we can understand that the LCM of 493,504,832,291,408 is 2506585536.

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

• LCM of 930, 523, 139, 859, 266
• LCM of 815, 346, 779, 698, 723
• LCM of 312, 560, 968, 132, 164
• LCM of 862, 255, 401, 736, 899
• LCM of 935, 190, 136, 382, 507

1. What is the LCM of 493, 504, 832, 291, 408?

Answer: LCM of 493, 504, 832, 291, 408 is 2506585536.

2. How to calculate the LCM of 493, 504, 832, 291, 408?

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 493, 504, 832, 291, 408.

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}.