Given numbers are 249,129,396,488,566

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

The LCM of 249,129,396,488,566 is 48796424424.

Find LCM of 249,129,396,488,566 with Prime Factorization

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

2 x 2 x 3 x 83 x 43 x 33 x 122 x 283 = 48796424424

Therefore, the lowest common multiple of 249,129,396,488,566 is 48796424424.

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.

249 x 129 x 396 x 488 x 566 = 3513342558528

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.

249 : 1, 3, 83, 249

129 : 1, 3, 43, 129

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

488 : 1, 2, 4, 8, 61, 122, 244, 488

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,129,396,488,566, is 1.

Now, the common factors can be found like this.

249:3x 83

129:3x 43

396:2x 2x 3x 3x 11

488:2x 2x 2x 61

566:2x 283

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 = 3513342558528/(1x72)

LCM = 3513342558528/72

LCM = 48796424424

Thus, we can understand that the LCM of 249,129,396,488,566 is 48796424424.

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

• LCM of 390, 947, 586, 277, 355
• LCM of 273, 869, 768, 914, 111
• LCM of 891, 692, 849, 601, 832
• LCM of 903, 850, 280, 503, 950
• LCM of 417, 914, 333, 888, 435

1. What is the LCM of 249, 129, 396, 488, 566?

Answer: LCM of 249, 129, 396, 488, 566 is 48796424424.

2. How to calculate the LCM of 249, 129, 396, 488, 566?

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 249, 129, 396, 488, 566.

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}.