Given numbers are 348,624,860,566,914

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

The LCM of 348,624,860,566,914 is 503180361840.

Find LCM of 348,624,860,566,914 with Prime Factorization

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

2 x 2 x 3 x 29 x 52 x 215 x 283 x 457 = 503180361840

Therefore, the lowest common multiple of 348,624,860,566,914 is 503180361840.

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.

348 x 624 x 860 x 566 x 914 = 96610629473280

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

566 : 1, 2, 283, 566

914 : 1, 2, 457, 914

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,624,860,566,914, is 2.

Now, the common factors can be found like this.

348:2x 2x 3x 29

624:2x 2x 2x 2x 3x 13

860:2x 2x 5x 43

566:2x 283

914:2x 457

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 2x 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 96610629473280/(2x96)

LCM = 96610629473280/192

LCM = 503180361840

Thus, we can understand that the LCM of 348,624,860,566,914 is 503180361840.

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

• LCM of 601, 811, 332, 501, 720
• LCM of 894, 288, 335, 625, 766
• LCM of 995, 316, 613, 119, 349
• LCM of 882, 735, 952, 245, 324
• LCM of 654, 175, 438, 814, 705

1. What is the LCM of 348, 624, 860, 566, 914?

Answer: LCM of 348, 624, 860, 566, 914 is 503180361840.

2. How to calculate the LCM of 348, 624, 860, 566, 914?

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 348, 624, 860, 566, 914.

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}.