Given numbers are 239,380,684,494,665

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

The LCM of 239,380,684,494,665 is 74381580.

Find LCM of 239,380,684,494,665 with Prime Factorization

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

2 x 2 x 5 x 19 x 239 x 1 x 9 x 13 x 7 = 74381580

Therefore, the lowest common multiple of 239,380,684,494,665 is 74381580.

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 380 x 684 x 494 x 665 = 20407330288800

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

494 : 1, 2, 13, 19, 26, 38, 247, 494

665 : 1, 5, 7, 19, 35, 95, 133, 665

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,380,684,494,665, is 1.

Now, the common factors can be found like this.

239:239

380:2x 2x 5x 19

684:2x 2x 3x 3x 19

494:2x 13x 19

665:5x 7x 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 5x 19x 19x 19 = 274360

Therefore, the value for common factors is 274360.

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 = 20407330288800/(1x274360)

LCM = 20407330288800/274360

LCM = 74381580

Thus, we can understand that the LCM of 239,380,684,494,665 is 74381580.

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

• LCM of 172, 813, 948, 589, 552
• LCM of 652, 967, 162, 311, 661
• LCM of 476, 710, 741, 191, 476
• LCM of 854, 538, 964, 866, 269
• LCM of 480, 436, 679, 109, 616

1. What is the LCM of 239, 380, 684, 494, 665?

Answer: LCM of 239, 380, 684, 494, 665 is 74381580.

2. How to calculate the LCM of 239, 380, 684, 494, 665?

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, 380, 684, 494, 665.

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}.