Given numbers are 422,248,990,828

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

The LCM of 422,248,990,828 is 595754280.

Find LCM of 422,248,990,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 211 x 62 x 55 x 23 = 595754280

Therefore, the lowest common multiple of 422,248,990,828 is 595754280.

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.

422 x 248 x 990 x 828 = 85788616320

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.

422 : 1, 2, 211, 422

248 : 1, 2, 4, 8, 31, 62, 124, 248

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,248,990,828, is 2.

Now, the common factors can be found like this.

422:2x 211

248:2x 2x 2x 31

990:2x 3x 3x 5x 11

828:2x 2x 3x 3x 23

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 85788616320/(2x72)

LCM = 85788616320/144

LCM = 595754280

Thus, we can understand that the LCM of 422,248,990,828 is 595754280.

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

• LCM of 814, 533, 499, 611
• LCM of 509, 129, 362, 715
• LCM of 583, 803, 790, 795
• LCM of 706, 413, 277, 815
• LCM of 819, 494, 766, 362

1. What is the LCM of 422, 248, 990, 828?

Answer: LCM of 422, 248, 990, 828 is 595754280.

2. How to calculate the LCM of 422, 248, 990, 828?

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 422, 248, 990, 828.

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}.