Given numbers are 996,920,828,564

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

The LCM of 996,920,828,564 is 32300280.

Find LCM of 996,920,828,564 with Prime Factorization

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

2 x 2 x 3 x 23 x 83 x 10 x 3 x 47 = 32300280

Therefore, the lowest common multiple of 996,920,828,564 is 32300280.

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.

996 x 920 x 828 x 564 = 427914109440

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,920,828,564, is 4.

Now, the common factors can be found like this.

996:2x 2x 3x 83

920:2x 2x 2x 5x 23

828:2x 2x 3x 3x 23

564:2x 2x 3x 47

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 23 = 3312

Therefore, the value for common factors is 3312.

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 = 427914109440/(4x3312)

LCM = 427914109440/13248

LCM = 32300280

Thus, we can understand that the LCM of 996,920,828,564 is 32300280.

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

• LCM of 820, 596, 776, 756
• LCM of 483, 233, 661, 826
• LCM of 298, 210, 526, 538
• LCM of 557, 118, 613, 573
• LCM of 253, 677, 950, 251

1. What is the LCM of 996, 920, 828, 564?

Answer: LCM of 996, 920, 828, 564 is 32300280.

2. How to calculate the LCM of 996, 920, 828, 564?

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 996, 920, 828, 564.

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}.