Given numbers are 104,406,286,492,756

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

The LCM of 104,406,286,492,756 is 257080824.

Find LCM of 104,406,286,492,756 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 2 x 29 x 11 x 41 x 9 = 257080824

Therefore, the lowest common multiple of 104,406,286,492,756 is 257080824.

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.

104 x 406 x 286 x 492 x 756 = 4491716156928

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.

104 : 1, 2, 4, 8, 13, 26, 52, 104

406 : 1, 2, 7, 14, 29, 58, 203, 406

286 : 1, 2, 11, 13, 22, 26, 143, 286

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,406,286,492,756, is 2.

Now, the common factors can be found like this.

104:2x 2x 2x 13

406:2x 7x 29

286:2x 11x 13

492:2x 2x 3x 41

756:2x 2x 3x 3x 3x 7

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 3x 7x 13 = 8736

Therefore, the value for common factors is 8736.

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 = 4491716156928/(2x8736)

LCM = 4491716156928/17472

LCM = 257080824

Thus, we can understand that the LCM of 104,406,286,492,756 is 257080824.

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

• LCM of 457, 731, 873, 613, 193
• LCM of 601, 758, 316, 713, 275
• LCM of 258, 463, 941, 525, 515
• LCM of 196, 580, 449, 991, 968
• LCM of 158, 668, 959, 361, 128

1. What is the LCM of 104, 406, 286, 492, 756?

Answer: LCM of 104, 406, 286, 492, 756 is 257080824.

2. How to calculate the LCM of 104, 406, 286, 492, 756?

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 104, 406, 286, 492, 756.

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}.