Given numbers are 392,192,386,356,502

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

The LCM of 392,192,386,356,502 is 40561905216.

Find LCM of 392,192,386,356,502 with Prime Factorization

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

2 x 2 x 2 x 49 x 24 x 193 x 89 x 251 = 40561905216

Therefore, the lowest common multiple of 392,192,386,356,502 is 40561905216.

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.

392 x 192 x 386 x 356 x 502 = 5191923867648

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

386 : 1, 2, 193, 386

356 : 1, 2, 4, 89, 178, 356

502 : 1, 2, 251, 502

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,192,386,356,502, is 2.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

192:2x 2x 2x 2x 2x 2x 3

386:2x 193

356:2x 2x 89

502:2x 251

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 2 = 64

Therefore, the value for common factors is 64.

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 = 5191923867648/(2x64)

LCM = 5191923867648/128

LCM = 40561905216

Thus, we can understand that the LCM of 392,192,386,356,502 is 40561905216.

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

• LCM of 710, 683, 357, 661, 742
• LCM of 366, 321, 436, 601, 405
• LCM of 536, 758, 817, 432, 644
• LCM of 824, 514, 123, 895, 876
• LCM of 365, 653, 441, 164, 590

1. What is the LCM of 392, 192, 386, 356, 502?

Answer: LCM of 392, 192, 386, 356, 502 is 40561905216.

2. How to calculate the LCM of 392, 192, 386, 356, 502?

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 392, 192, 386, 356, 502.

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}.