Given numbers are 819,28,857

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

The LCM of 819,28,857 is 2807532.

Find LCM of 819,28,857 with Prime Factorization

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

7 x 117 x 4 x 857 = 2807532

Therefore, the lowest common multiple of 819,28,857 is 2807532.

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.

819 x 28 x 857 = 19652724

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.

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

28 : 1, 2, 4, 7, 14, 28

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,28,857, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

28:2x 2x 7

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.

7 = 7

Therefore, the value for common factors is 7.

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 = 19652724/(1x7)

LCM = 19652724/7

LCM = 2807532

Thus, we can understand that the LCM of 819,28,857 is 2807532.

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

• LCM of 444, 62, 802
• LCM of 242, 75, 321
• LCM of 312, 53, 973
• LCM of 396, 98, 719
• LCM of 406, 39, 462

1. What is the LCM of 819, 28, 857?

Answer: LCM of 819, 28, 857 is 2807532.

2. How to calculate the LCM of 819, 28, 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 819, 28, 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}.