Given numbers are 828,924,104,379

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

The LCM of 828,924,104,379 is 628251624.

Find LCM of 828,924,104,379 with Prime Factorization

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

2 x 2 x 3 x 69 x 77 x 26 x 379 = 628251624

Therefore, the lowest common multiple of 828,924,104,379 is 628251624.

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 924 x 104 x 379 = 30156077952

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

104 : 1, 2, 4, 8, 13, 26, 52, 104

379 : 1, 379

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,924,104,379, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

924:2x 2x 3x 7x 11

104:2x 2x 2x 13

379:379

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 3 = 48

Therefore, the value for common factors is 48.

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 = 30156077952/(1x48)

LCM = 30156077952/48

LCM = 628251624

Thus, we can understand that the LCM of 828,924,104,379 is 628251624.

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

• LCM of 820, 726, 784, 698
• LCM of 597, 484, 196, 652
• LCM of 672, 188, 327, 412
• LCM of 653, 251, 411, 868
• LCM of 543, 391, 704, 752

1. What is the LCM of 828, 924, 104, 379?

Answer: LCM of 828, 924, 104, 379 is 628251624.

2. How to calculate the LCM of 828, 924, 104, 379?

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, 924, 104, 379.

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}.