Given numbers are 398,792,828,765,206

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

The LCM of 398,792,828,765,206 is 31736734920.

Find LCM of 398,792,828,765,206 with Prime Factorization

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

2 x 2 x 3 x 3 x 199 x 22 x 23 x 85 x 103 = 31736734920

Therefore, the lowest common multiple of 398,792,828,765,206 is 31736734920.

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.

398 x 792 x 828 x 765 x 206 = 41130808456320

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.

398 : 1, 2, 199, 398

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,792,828,765,206, is 1.

Now, the common factors can be found like this.

398:2x 199

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

828:2x 2x 3x 3x 23

765:3x 3x 5x 17

206:2x 103

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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 41130808456320/(1x1296)

LCM = 41130808456320/1296

LCM = 31736734920

Thus, we can understand that the LCM of 398,792,828,765,206 is 31736734920.

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

• LCM of 785, 128, 718, 257, 383
• LCM of 865, 120, 810, 988, 979
• LCM of 571, 983, 399, 625, 652
• LCM of 249, 456, 271, 119, 325
• LCM of 847, 141, 584, 288, 909

1. What is the LCM of 398, 792, 828, 765, 206?

Answer: LCM of 398, 792, 828, 765, 206 is 31736734920.

2. How to calculate the LCM of 398, 792, 828, 765, 206?

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 398, 792, 828, 765, 206.

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}.