Given numbers are 361,195,331,494

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

The LCM of 361,195,331,494 is 46601490.

Find LCM of 361,195,331,494 with Prime Factorization

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

13 x 19 x 19 x 15 x 331 x 2 = 46601490

Therefore, the lowest common multiple of 361,195,331,494 is 46601490.

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.

361 x 195 x 331 x 494 = 11510568030

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.

361 : 1, 19, 361

195 : 1, 3, 5, 13, 15, 39, 65, 195

331 : 1, 331

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,195,331,494, is 1.

Now, the common factors can be found like this.

361:19x 19

195:3x 5x 13

331:331

494:2x 13x 19

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

13x 19 = 247

Therefore, the value for common factors is 247.

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 = 11510568030/(1x247)

LCM = 11510568030/247

LCM = 46601490

Thus, we can understand that the LCM of 361,195,331,494 is 46601490.

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

• LCM of 763, 885, 715, 864
• LCM of 864, 264, 656, 875
• LCM of 650, 470, 148, 446
• LCM of 305, 498, 964, 423
• LCM of 341, 152, 432, 641

1. What is the LCM of 361, 195, 331, 494?

Answer: LCM of 361, 195, 331, 494 is 46601490.

2. How to calculate the LCM of 361, 195, 331, 494?

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 361, 195, 331, 494.

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}.