Given numbers are 380,252,652,428,494

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

The LCM of 380,252,652,428,494 is 5427988020.

Find LCM of 380,252,652,428,494 with Prime Factorization

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

2 x 2 x 19 x 5 x 63 x 163 x 107 x 13 = 5427988020

Therefore, the lowest common multiple of 380,252,652,428,494 is 5427988020.

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.

380 x 252 x 652 x 428 x 494 = 13200866864640

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.

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

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

652 : 1, 2, 4, 163, 326, 652

428 : 1, 2, 4, 107, 214, 428

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,252,652,428,494, is 2.

Now, the common factors can be found like this.

380:2x 2x 5x 19

252:2x 2x 3x 3x 7

652:2x 2x 163

428:2x 2x 107

494:2x 13x 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 19 = 1216

Therefore, the value for common factors is 1216.

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 = 13200866864640/(2x1216)

LCM = 13200866864640/2432

LCM = 5427988020

Thus, we can understand that the LCM of 380,252,652,428,494 is 5427988020.

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

• LCM of 991, 685, 693, 856, 813
• LCM of 237, 566, 441, 328, 179
• LCM of 279, 260, 258, 592, 993
• LCM of 165, 750, 562, 842, 953
• LCM of 615, 876, 232, 488, 770

1. What is the LCM of 380, 252, 652, 428, 494?

Answer: LCM of 380, 252, 652, 428, 494 is 5427988020.

2. How to calculate the LCM of 380, 252, 652, 428, 494?

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 380, 252, 652, 428, 494.

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}.