Given numbers are 817,390,120,372,717

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

The LCM of 817,390,120,372,717 is 9442918680.

Find LCM of 817,390,120,372,717 with Prime Factorization

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

2 x 2 x 3 x 5 x 817 x 13 x 2 x 31 x 239 = 9442918680

Therefore, the lowest common multiple of 817,390,120,372,717 is 9442918680.

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.

817 x 390 x 120 x 372 x 717 = 10198352174400

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.

817 : 1, 19, 43, 817

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,390,120,372,717, is 1.

Now, the common factors can be found like this.

817:19x 43

390:2x 3x 5x 13

120:2x 2x 2x 3x 5

372:2x 2x 3x 31

717:3x 239

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 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 10198352174400/(1x1080)

LCM = 10198352174400/1080

LCM = 9442918680

Thus, we can understand that the LCM of 817,390,120,372,717 is 9442918680.

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

• LCM of 241, 392, 976, 796, 516
• LCM of 598, 573, 249, 606, 710
• LCM of 818, 152, 587, 735, 392
• LCM of 332, 302, 256, 762, 372
• LCM of 774, 107, 774, 671, 406

1. What is the LCM of 817, 390, 120, 372, 717?

Answer: LCM of 817, 390, 120, 372, 717 is 9442918680.

2. How to calculate the LCM of 817, 390, 120, 372, 717?

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 817, 390, 120, 372, 717.

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}.