Given numbers are 239,576,368,336,722

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

The LCM of 239,576,368,336,722 is 8001169344.

Find LCM of 239,576,368,336,722 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 239 x 12 x 23 x 7 x 361 = 8001169344

Therefore, the lowest common multiple of 239,576,368,336,722 is 8001169344.

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.

239 x 576 x 368 x 336 x 722 = 12289796112384

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.

239 : 1, 239

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,576,368,336,722, is 1.

Now, the common factors can be found like this.

239:239

576:2x 2x 2x 2x 2x 2x 3x 3

368:2x 2x 2x 2x 23

336:2x 2x 2x 2x 3x 7

722:2x 19x 19

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 3 = 1536

Therefore, the value for common factors is 1536.

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 = 12289796112384/(1x1536)

LCM = 12289796112384/1536

LCM = 8001169344

Thus, we can understand that the LCM of 239,576,368,336,722 is 8001169344.

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

• LCM of 877, 578, 379, 860, 956
• LCM of 531, 494, 371, 469, 524
• LCM of 269, 232, 572, 683, 459
• LCM of 593, 127, 485, 914, 318
• LCM of 284, 381, 857, 599, 445

1. What is the LCM of 239, 576, 368, 336, 722?

Answer: LCM of 239, 576, 368, 336, 722 is 8001169344.

2. How to calculate the LCM of 239, 576, 368, 336, 722?

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 239, 576, 368, 336, 722.

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}.