Given numbers are 506,398,525,764,857

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

The LCM of 506,398,525,764,857 is 17306413716900.

Find LCM of 506,398,525,764,857 with Prime Factorization

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

2 x 253 x 199 x 525 x 382 x 857 = 17306413716900

Therefore, the lowest common multiple of 506,398,525,764,857 is 17306413716900.

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.

506 x 398 x 525 x 764 x 857 = 69225654867600

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

398 : 1, 2, 199, 398

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

764 : 1, 2, 4, 191, 382, 764

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,398,525,764,857, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

398:2x 199

525:3x 5x 5x 7

764:2x 2x 191

857:857

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 69225654867600/(1x4)

LCM = 69225654867600/4

LCM = 17306413716900

Thus, we can understand that the LCM of 506,398,525,764,857 is 17306413716900.

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

• LCM of 171, 317, 426, 773, 636
• LCM of 706, 305, 309, 403, 192
• LCM of 277, 482, 333, 570, 305
• LCM of 864, 556, 906, 700, 970
• LCM of 185, 157, 104, 216, 196

1. What is the LCM of 506, 398, 525, 764, 857?

Answer: LCM of 506, 398, 525, 764, 857 is 17306413716900.

2. How to calculate the LCM of 506, 398, 525, 764, 857?

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 506, 398, 525, 764, 857.

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}.