Given numbers are 823,656,386,257,514

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

The LCM of 823,656,386,257,514 is 26778984688.

Find LCM of 823,656,386,257,514 with Prime Factorization

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

2 x 257 x 823 x 328 x 193 x 1 x 1 = 26778984688

Therefore, the lowest common multiple of 823,656,386,257,514 is 26778984688.

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.

823 x 656 x 386 x 257 x 514 = 27528796259264

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.

823 : 1, 823

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

386 : 1, 2, 193, 386

257 : 1, 257

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,656,386,257,514, is 1.

Now, the common factors can be found like this.

823:823

656:2x 2x 2x 2x 41

386:2x 193

257:257

514:2x 257

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 257 = 1028

Therefore, the value for common factors is 1028.

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 = 27528796259264/(1x1028)

LCM = 27528796259264/1028

LCM = 26778984688

Thus, we can understand that the LCM of 823,656,386,257,514 is 26778984688.

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

• LCM of 854, 891, 549, 331, 476
• LCM of 280, 570, 129, 810, 241
• LCM of 169, 555, 520, 804, 510
• LCM of 143, 741, 227, 427, 193
• LCM of 646, 532, 500, 954, 280

1. What is the LCM of 823, 656, 386, 257, 514?

Answer: LCM of 823, 656, 386, 257, 514 is 26778984688.

2. How to calculate the LCM of 823, 656, 386, 257, 514?

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 823, 656, 386, 257, 514.

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}.