Given numbers are 422,400,566,282

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

The LCM of 422,400,566,282 is 3367813200.

Find LCM of 422,400,566,282 with Prime Factorization

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

2 x 211 x 200 x 283 x 141 = 3367813200

Therefore, the lowest common multiple of 422,400,566,282 is 3367813200.

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 400 x 566 x 282 = 26942505600

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

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

566 : 1, 2, 283, 566

282 : 1, 2, 3, 6, 47, 94, 141, 282

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,400,566,282, is 2.

Now, the common factors can be found like this.

422:2x 211

400:2x 2x 2x 2x 5x 5

566:2x 283

282:2x 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 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 = 26942505600/(2x4)

LCM = 26942505600/8

LCM = 3367813200

Thus, we can understand that the LCM of 422,400,566,282 is 3367813200.

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

• LCM of 109, 615, 132, 144
• LCM of 602, 282, 611, 652
• LCM of 988, 955, 305, 558
• LCM of 754, 638, 492, 574
• LCM of 899, 992, 801, 591

1. What is the LCM of 422, 400, 566, 282?

Answer: LCM of 422, 400, 566, 282 is 3367813200.

2. How to calculate the LCM of 422, 400, 566, 282?

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, 400, 566, 282.

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}.