Given numbers are 361,381,405,508

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

The LCM of 361,381,405,508 is 74272140.

Find LCM of 361,381,405,508 with Prime Factorization

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

3 x 127 x 361 x 1 x 135 x 4 = 74272140

Therefore, the lowest common multiple of 361,381,405,508 is 74272140.

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 381 x 405 x 508 = 28297685340

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

381 : 1, 3, 127, 381

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,381,405,508, is 1.

Now, the common factors can be found like this.

361:19x 19

381:3x 127

405:3x 3x 3x 3x 5

508:2x 2x 127

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

3x 127 = 381

Therefore, the value for common factors is 381.

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 = 28297685340/(1x381)

LCM = 28297685340/381

LCM = 74272140

Thus, we can understand that the LCM of 361,381,405,508 is 74272140.

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

• LCM of 653, 136, 106, 605
• LCM of 858, 211, 452, 148
• LCM of 499, 720, 144, 151
• LCM of 669, 102, 505, 566
• LCM of 454, 743, 350, 839

1. What is the LCM of 361, 381, 405, 508?

Answer: LCM of 361, 381, 405, 508 is 74272140.

2. How to calculate the LCM of 361, 381, 405, 508?

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, 381, 405, 508.

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}.