Given numbers are 380,218,578,397,728

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

The LCM of 380,218,578,397,728 is 864907836520.

Find LCM of 380,218,578,397,728 with Prime Factorization

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

2 x 2 x 95 x 109 x 289 x 397 x 182 = 864907836520

Therefore, the lowest common multiple of 380,218,578,397,728 is 864907836520.

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 218 x 578 x 397 x 728 = 13838525384320

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

218 : 1, 2, 109, 218

578 : 1, 2, 17, 34, 289, 578

397 : 1, 397

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,218,578,397,728, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

218:2x 109

578:2x 17x 17

397:397

728:2x 2x 2x 7x 13

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 2 = 16

Therefore, the value for common factors is 16.

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 = 13838525384320/(1x16)

LCM = 13838525384320/16

LCM = 864907836520

Thus, we can understand that the LCM of 380,218,578,397,728 is 864907836520.

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

• LCM of 587, 342, 656, 673, 939
• LCM of 939, 392, 293, 897, 498
• LCM of 276, 179, 109, 732, 613
• LCM of 998, 151, 889, 510, 267
• LCM of 888, 674, 135, 920, 379

1. What is the LCM of 380, 218, 578, 397, 728?

Answer: LCM of 380, 218, 578, 397, 728 is 864907836520.

2. How to calculate the LCM of 380, 218, 578, 397, 728?

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, 218, 578, 397, 728.

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}.