Given numbers are 821,830,394,204

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

The LCM of 821,830,394,204 is 13692654420.

Find LCM of 821,830,394,204 with Prime Factorization

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

2 x 821 x 415 x 197 x 102 = 13692654420

Therefore, the lowest common multiple of 821,830,394,204 is 13692654420.

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.

821 x 830 x 394 x 204 = 54770617680

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.

821 : 1, 821

830 : 1, 2, 5, 10, 83, 166, 415, 830

394 : 1, 2, 197, 394

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 821,830,394,204, is 1.

Now, the common factors can be found like this.

821:821

830:2x 5x 83

394:2x 197

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 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 = 54770617680/(1x4)

LCM = 54770617680/4

LCM = 13692654420

Thus, we can understand that the LCM of 821,830,394,204 is 13692654420.

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

• LCM of 145, 701, 818, 387
• LCM of 872, 513, 316, 856
• LCM of 804, 148, 320, 492
• LCM of 478, 145, 881, 386
• LCM of 644, 577, 665, 268

1. What is the LCM of 821, 830, 394, 204?

Answer: LCM of 821, 830, 394, 204 is 13692654420.

2. How to calculate the LCM of 821, 830, 394, 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 821, 830, 394, 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}.