Given numbers are 819,428,704,868

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

The LCM of 819,428,704,868 is 1912502592.

Find LCM of 819,428,704,868 with Prime Factorization

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

2 x 2 x 7 x 117 x 107 x 176 x 31 = 1912502592

Therefore, the lowest common multiple of 819,428,704,868 is 1912502592.

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 428 x 704 x 868 = 214200290304

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

428 : 1, 2, 4, 107, 214, 428

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,428,704,868, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

428:2x 2x 107

704:2x 2x 2x 2x 2x 2x 11

868:2x 2x 7x 31

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 7 = 112

Therefore, the value for common factors is 112.

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 = 214200290304/(1x112)

LCM = 214200290304/112

LCM = 1912502592

Thus, we can understand that the LCM of 819,428,704,868 is 1912502592.

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

• LCM of 963, 467, 898, 803
• LCM of 642, 838, 131, 208
• LCM of 904, 167, 913, 482
• LCM of 546, 603, 150, 325
• LCM of 880, 978, 298, 965

1. What is the LCM of 819, 428, 704, 868?

Answer: LCM of 819, 428, 704, 868 is 1912502592.

2. How to calculate the LCM of 819, 428, 704, 868?

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, 428, 704, 868.

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}.