Given numbers are 608,256,336,403,217

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

The LCM of 608,256,336,403,217 is 41164032.

Find LCM of 608,256,336,403,217 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 7 x 31 x 19 x 8 x 3 x 13 x 1 = 41164032

Therefore, the lowest common multiple of 608,256,336,403,217 is 41164032.

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.

608 x 256 x 336 x 403 x 217 = 4573488611328

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

403 : 1, 13, 31, 403

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,256,336,403,217, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

256:2x 2x 2x 2x 2x 2x 2x 2

336:2x 2x 2x 2x 3x 7

403:13x 31

217:7x 31

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 2x 2x 2x 2x 7x 31 = 111104

Therefore, the value for common factors is 111104.

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 = 4573488611328/(1x111104)

LCM = 4573488611328/111104

LCM = 41164032

Thus, we can understand that the LCM of 608,256,336,403,217 is 41164032.

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

• LCM of 562, 818, 648, 146, 931
• LCM of 609, 140, 574, 100, 718
• LCM of 489, 832, 810, 693, 626
• LCM of 204, 109, 451, 967, 871
• LCM of 981, 680, 864, 451, 623

1. What is the LCM of 608, 256, 336, 403, 217?

Answer: LCM of 608, 256, 336, 403, 217 is 41164032.

2. How to calculate the LCM of 608, 256, 336, 403, 217?

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 608, 256, 336, 403, 217.

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}.