Given numbers are 195,404,717,792,440

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

The LCM of 195,404,717,792,440 is 1242675720.

Find LCM of 195,404,717,792,440 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 13 x 101 x 239 x 3 x 1 = 1242675720

Therefore, the lowest common multiple of 195,404,717,792,440 is 1242675720.

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.

195 x 404 x 717 x 792 x 440 = 19683983404800

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.

195 : 1, 3, 5, 13, 15, 39, 65, 195

404 : 1, 2, 4, 101, 202, 404

717 : 1, 3, 239, 717

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,404,717,792,440, is 1.

Now, the common factors can be found like this.

195:3x 5x 13

404:2x 2x 101

717:3x 239

792:2x 2x 2x 3x 3x 11

440:2x 2x 2x 5x 11

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 3x 3x 5x 11 = 15840

Therefore, the value for common factors is 15840.

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 = 19683983404800/(1x15840)

LCM = 19683983404800/15840

LCM = 1242675720

Thus, we can understand that the LCM of 195,404,717,792,440 is 1242675720.

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

• LCM of 232, 309, 788, 439, 989
• LCM of 710, 251, 838, 426, 523
• LCM of 888, 602, 574, 730, 285
• LCM of 998, 294, 521, 884, 712
• LCM of 982, 960, 241, 113, 951

1. What is the LCM of 195, 404, 717, 792, 440?

Answer: LCM of 195, 404, 717, 792, 440 is 1242675720.

2. How to calculate the LCM of 195, 404, 717, 792, 440?

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 195, 404, 717, 792, 440.

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}.