Given numbers are 363,484,274,272,440

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

The LCM of 363,484,274,272,440 is 67634160.

Find LCM of 363,484,274,272,440 with Prime Factorization

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

2 x 2 x 2 x 11 x 11 x 3 x 1 x 137 x 34 x 5 = 67634160

Therefore, the lowest common multiple of 363,484,274,272,440 is 67634160.

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 484 x 274 x 272 x 440 = 5761348285440

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

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

274 : 1, 2, 137, 274

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,484,274,272,440, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

484:2x 2x 11x 11

274:2x 137

272:2x 2x 2x 2x 17

440:2x 2x 2x 5x 11

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 2x 11x 11x 11 = 85184

Therefore, the value for common factors is 85184.

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 = 5761348285440/(1x85184)

LCM = 5761348285440/85184

LCM = 67634160

Thus, we can understand that the LCM of 363,484,274,272,440 is 67634160.

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

• LCM of 638, 603, 302, 686, 783
• LCM of 589, 743, 563, 404, 158
• LCM of 803, 174, 433, 721, 602
• LCM of 261, 704, 320, 724, 415
• LCM of 819, 204, 648, 300, 456

1. What is the LCM of 363, 484, 274, 272, 440?

Answer: LCM of 363, 484, 274, 272, 440 is 67634160.

2. How to calculate the LCM of 363, 484, 274, 272, 440?

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, 484, 274, 272, 440.

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}.