Given numbers are 566,413,590,138,214

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

The LCM of 566,413,590,138,214 is 8629176570.

Find LCM of 566,413,590,138,214 with Prime Factorization

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

2 x 59 x 283 x 7 x 5 x 69 x 107 = 8629176570

Therefore, the lowest common multiple of 566,413,590,138,214 is 8629176570.

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.

566 x 413 x 590 x 138 x 214 = 4072971341040

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.

566 : 1, 2, 283, 566

413 : 1, 7, 59, 413

590 : 1, 2, 5, 10, 59, 118, 295, 590

138 : 1, 2, 3, 6, 23, 46, 69, 138

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,413,590,138,214, is 1.

Now, the common factors can be found like this.

566:2x 283

413:7x 59

590:2x 5x 59

138:2x 3x 23

214:2x 107

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 59 = 472

Therefore, the value for common factors is 472.

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 = 4072971341040/(1x472)

LCM = 4072971341040/472

LCM = 8629176570

Thus, we can understand that the LCM of 566,413,590,138,214 is 8629176570.

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

• LCM of 204, 490, 909, 945, 928
• LCM of 576, 431, 754, 357, 592
• LCM of 268, 437, 344, 710, 510
• LCM of 502, 592, 261, 511, 381
• LCM of 715, 359, 657, 129, 451

1. What is the LCM of 566, 413, 590, 138, 214?

Answer: LCM of 566, 413, 590, 138, 214 is 8629176570.

2. How to calculate the LCM of 566, 413, 590, 138, 214?

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 566, 413, 590, 138, 214.

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}.