Given numbers are 422,260,281,334,788

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

The LCM of 422,260,281,334,788 is 507159798340.

Find LCM of 422,260,281,334,788 with Prime Factorization

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

2 x 2 x 211 x 65 x 281 x 167 x 197 = 507159798340

Therefore, the lowest common multiple of 422,260,281,334,788 is 507159798340.

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 260 x 281 x 334 x 788 = 8114556773440

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

281 : 1, 281

334 : 1, 2, 167, 334

788 : 1, 2, 4, 197, 394, 788

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,260,281,334,788, is 1.

Now, the common factors can be found like this.

422:2x 211

260:2x 2x 5x 13

281:281

334:2x 167

788:2x 2x 197

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 2 = 16

Therefore, the value for common factors is 16.

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 = 8114556773440/(1x16)

LCM = 8114556773440/16

LCM = 507159798340

Thus, we can understand that the LCM of 422,260,281,334,788 is 507159798340.

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

• LCM of 874, 524, 447, 104, 514
• LCM of 575, 951, 751, 200, 229
• LCM of 713, 152, 287, 462, 237
• LCM of 693, 650, 822, 425, 809
• LCM of 626, 401, 506, 501, 662

1. What is the LCM of 422, 260, 281, 334, 788?

Answer: LCM of 422, 260, 281, 334, 788 is 507159798340.

2. How to calculate the LCM of 422, 260, 281, 334, 788?

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, 260, 281, 334, 788.

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}.