Given numbers are 366,401,192,321,497

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

The LCM of 366,401,192,321,497 is 249755811648.

Find LCM of 366,401,192,321,497 with Prime Factorization

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

2 x 3 x 61 x 401 x 32 x 107 x 497 = 249755811648

Therefore, the lowest common multiple of 366,401,192,321,497 is 249755811648.

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.

366 x 401 x 192 x 321 x 497 = 4495604609664

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

401 : 1, 401

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

321 : 1, 3, 107, 321

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,401,192,321,497, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

401:401

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

321:3x 107

497:7x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 4495604609664/(1x18)

LCM = 4495604609664/18

LCM = 249755811648

Thus, we can understand that the LCM of 366,401,192,321,497 is 249755811648.

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

• LCM of 229, 500, 112, 422, 699
• LCM of 291, 160, 786, 980, 454
• LCM of 325, 892, 809, 805, 240
• LCM of 928, 889, 676, 476, 798
• LCM of 511, 828, 257, 982, 879

1. What is the LCM of 366, 401, 192, 321, 497?

Answer: LCM of 366, 401, 192, 321, 497 is 249755811648.

2. How to calculate the LCM of 366, 401, 192, 321, 497?

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 366, 401, 192, 321, 497.

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}.