Given numbers are 308,616,414,874,317

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

The LCM of 308,616,414,874,317 is 768004776.

Find LCM of 308,616,414,874,317 with Prime Factorization

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

2 x 2 x 7 x 11 x 23 x 1 x 2 x 9 x 19 x 317 = 768004776

Therefore, the lowest common multiple of 308,616,414,874,317 is 768004776.

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.

308 x 616 x 414 x 874 x 317 = 21762183332736

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,616,414,874,317, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

616:2x 2x 2x 7x 11

414:2x 3x 3x 23

874:2x 19x 23

317:317

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 7x 11x 23 = 28336

Therefore, the value for common factors is 28336.

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 = 21762183332736/(1x28336)

LCM = 21762183332736/28336

LCM = 768004776

Thus, we can understand that the LCM of 308,616,414,874,317 is 768004776.

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

• LCM of 157, 583, 144, 671, 171
• LCM of 382, 585, 162, 144, 281
• LCM of 124, 944, 988, 607, 995
• LCM of 520, 810, 145, 953, 562
• LCM of 274, 184, 927, 165, 323

1. What is the LCM of 308, 616, 414, 874, 317?

Answer: LCM of 308, 616, 414, 874, 317 is 768004776.

2. How to calculate the LCM of 308, 616, 414, 874, 317?

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 308, 616, 414, 874, 317.

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}.