Given numbers are 257,228,348,798,992

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

The LCM of 257,228,348,798,992 is 2949957024.

Find LCM of 257,228,348,798,992 with Prime Factorization

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

2 x 2 x 3 x 19 x 257 x 1 x 29 x 7 x 248 = 2949957024

Therefore, the lowest common multiple of 257,228,348,798,992 is 2949957024.

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.

257 x 228 x 348 x 798 x 992 = 16142164835328

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.

257 : 1, 257

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,228,348,798,992, is 1.

Now, the common factors can be found like this.

257:257

228:2x 2x 3x 19

348:2x 2x 3x 29

798:2x 3x 7x 19

992:2x 2x 2x 2x 2x 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 3x 3x 19 = 5472

Therefore, the value for common factors is 5472.

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 = 16142164835328/(1x5472)

LCM = 16142164835328/5472

LCM = 2949957024

Thus, we can understand that the LCM of 257,228,348,798,992 is 2949957024.

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

• LCM of 280, 470, 338, 268, 514
• LCM of 248, 804, 170, 741, 401
• LCM of 916, 434, 409, 289, 180
• LCM of 476, 657, 794, 796, 520
• LCM of 626, 704, 600, 584, 891

1. What is the LCM of 257, 228, 348, 798, 992?

Answer: LCM of 257, 228, 348, 798, 992 is 2949957024.

2. How to calculate the LCM of 257, 228, 348, 798, 992?

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 257, 228, 348, 798, 992.

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}.