Given numbers are 284,414,528,489,169

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

The LCM of 284,414,528,489,169 is 71255053584.

Find LCM of 284,414,528,489,169 with Prime Factorization

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

2 x 2 x 3 x 71 x 69 x 44 x 163 x 169 = 71255053584

Therefore, the lowest common multiple of 284,414,528,489,169 is 71255053584.

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.

284 x 414 x 528 x 489 x 169 = 5130363858048

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.

284 : 1, 2, 4, 71, 142, 284

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

489 : 1, 3, 163, 489

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,414,528,489,169, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

414:2x 3x 3x 23

528:2x 2x 2x 2x 3x 11

489:3x 163

169:13x 13

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 = 5130363858048/(1x72)

LCM = 5130363858048/72

LCM = 71255053584

Thus, we can understand that the LCM of 284,414,528,489,169 is 71255053584.

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

• LCM of 138, 673, 974, 853, 297
• LCM of 814, 987, 357, 477, 863
• LCM of 606, 243, 507, 395, 562
• LCM of 874, 922, 251, 647, 735
• LCM of 737, 578, 773, 759, 479

1. What is the LCM of 284, 414, 528, 489, 169?

Answer: LCM of 284, 414, 528, 489, 169 is 71255053584.

2. How to calculate the LCM of 284, 414, 528, 489, 169?

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 284, 414, 528, 489, 169.

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}.