Given numbers are 484,368,390,376,731

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

The LCM of 484,368,390,376,731 is 298320456720.

Find LCM of 484,368,390,376,731 with Prime Factorization

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

2 x 2 x 2 x 121 x 46 x 195 x 47 x 731 = 298320456720

Therefore, the lowest common multiple of 484,368,390,376,731 is 298320456720.

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.

484 x 368 x 390 x 376 x 731 = 19092509230080

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.

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

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

376 : 1, 2, 4, 8, 47, 94, 188, 376

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,368,390,376,731, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

368:2x 2x 2x 2x 23

390:2x 3x 5x 13

376:2x 2x 2x 47

731:17x 43

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 2 = 64

Therefore, the value for common factors is 64.

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 = 19092509230080/(1x64)

LCM = 19092509230080/64

LCM = 298320456720

Thus, we can understand that the LCM of 484,368,390,376,731 is 298320456720.

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

• LCM of 367, 715, 477, 803, 134
• LCM of 426, 568, 607, 249, 922
• LCM of 164, 285, 546, 738, 123
• LCM of 677, 730, 537, 196, 404
• LCM of 211, 703, 395, 280, 822

1. What is the LCM of 484, 368, 390, 376, 731?

Answer: LCM of 484, 368, 390, 376, 731 is 298320456720.

2. How to calculate the LCM of 484, 368, 390, 376, 731?

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 484, 368, 390, 376, 731.

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}.