Given numbers are 363,368,797,270,584

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

The LCM of 363,368,797,270,584 is 349742281680.

Find LCM of 363,368,797,270,584 with Prime Factorization

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

2 x 2 x 2 x 3 x 121 x 46 x 797 x 45 x 73 = 349742281680

Therefore, the lowest common multiple of 363,368,797,270,584 is 349742281680.

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.

363 x 368 x 797 x 270 x 584 = 16787629520640

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.

363 : 1, 3, 11, 33, 121, 363

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

797 : 1, 797

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,368,797,270,584, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

368:2x 2x 2x 2x 23

797:797

270:2x 3x 3x 3x 5

584:2x 2x 2x 73

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 3 = 48

Therefore, the value for common factors is 48.

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 = 16787629520640/(1x48)

LCM = 16787629520640/48

LCM = 349742281680

Thus, we can understand that the LCM of 363,368,797,270,584 is 349742281680.

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

• LCM of 839, 150, 904, 741, 296
• LCM of 856, 635, 383, 321, 419
• LCM of 473, 855, 379, 977, 375
• LCM of 401, 630, 196, 429, 432
• LCM of 593, 200, 929, 399, 323

1. What is the LCM of 363, 368, 797, 270, 584?

Answer: LCM of 363, 368, 797, 270, 584 is 349742281680.

2. How to calculate the LCM of 363, 368, 797, 270, 584?

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 363, 368, 797, 270, 584.

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}.