Given numbers are 828,604,812,884

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

The LCM of 828,604,812,884 is 5609131164.

Find LCM of 828,604,812,884 with Prime Factorization

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

2 x 2 x 207 x 151 x 203 x 221 = 5609131164

Therefore, the lowest common multiple of 828,604,812,884 is 5609131164.

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.

828 x 604 x 812 x 884 = 358984394496

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.

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

604 : 1, 2, 4, 151, 302, 604

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,604,812,884, is 4.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

604:2x 2x 151

812:2x 2x 7x 29

884:2x 2x 13x 17

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 2 = 16

Therefore, the value for common factors is 16.

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 = 358984394496/(4x16)

LCM = 358984394496/64

LCM = 5609131164

Thus, we can understand that the LCM of 828,604,812,884 is 5609131164.

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

• LCM of 365, 587, 295, 521
• LCM of 490, 562, 598, 151
• LCM of 678, 115, 590, 256
• LCM of 351, 167, 742, 978
• LCM of 639, 816, 799, 687

1. What is the LCM of 828, 604, 812, 884?

Answer: LCM of 828, 604, 812, 884 is 5609131164.

2. How to calculate the LCM of 828, 604, 812, 884?

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 828, 604, 812, 884.

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}.