Given numbers are 288,698,368,388,480

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

The LCM of 288,698,368,388,480 is 1121211360.

Find LCM of 288,698,368,388,480 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 3 x 349 x 23 x 97 x 5 = 1121211360

Therefore, the lowest common multiple of 288,698,368,388,480 is 1121211360.

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.

288 x 698 x 368 x 388 x 480 = 13777445191680

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

698 : 1, 2, 349, 698

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

388 : 1, 2, 4, 97, 194, 388

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,698,368,388,480, is 2.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

698:2x 349

368:2x 2x 2x 2x 23

388:2x 2x 97

480:2x 2x 2x 2x 2x 3x 5

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 2x 2x 2x 2x 2x 3 = 6144

Therefore, the value for common factors is 6144.

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 = 13777445191680/(2x6144)

LCM = 13777445191680/12288

LCM = 1121211360

Thus, we can understand that the LCM of 288,698,368,388,480 is 1121211360.

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

• LCM of 115, 290, 622, 516, 383
• LCM of 995, 146, 465, 953, 267
• LCM of 368, 672, 780, 198, 571
• LCM of 748, 449, 519, 395, 511
• LCM of 338, 242, 946, 205, 407

1. What is the LCM of 288, 698, 368, 388, 480?

Answer: LCM of 288, 698, 368, 388, 480 is 1121211360.

2. How to calculate the LCM of 288, 698, 368, 388, 480?

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 288, 698, 368, 388, 480.

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}.