Given numbers are 828,837,884,461,204

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

The LCM of 828,837,884,461,204 is 7845244524.

Find LCM of 828,837,884,461,204 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 23 x 93 x 13 x 461 x 1 = 7845244524

Therefore, the lowest common multiple of 828,837,884,461,204 is 7845244524.

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 837 x 884 x 461 x 204 = 57615475784256

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

837 : 1, 3, 9, 27, 31, 93, 279, 837

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

461 : 1, 461

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,837,884,461,204, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

837:3x 3x 3x 31

884:2x 2x 13x 17

461:461

204:2x 2x 3x 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 2x 3x 3x 3x 17 = 7344

Therefore, the value for common factors is 7344.

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 = 57615475784256/(1x7344)

LCM = 57615475784256/7344

LCM = 7845244524

Thus, we can understand that the LCM of 828,837,884,461,204 is 7845244524.

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

• LCM of 609, 984, 145, 847, 487
• LCM of 784, 844, 961, 672, 234
• LCM of 249, 858, 833, 771, 885
• LCM of 290, 984, 948, 697, 570
• LCM of 685, 977, 735, 385, 631

1. What is the LCM of 828, 837, 884, 461, 204?

Answer: LCM of 828, 837, 884, 461, 204 is 7845244524.

2. How to calculate the LCM of 828, 837, 884, 461, 204?

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, 837, 884, 461, 204.

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}.