Given numbers are 380,128,894,589,328

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

The LCM of 380,128,894,589,328 is 6908545920.

Find LCM of 380,128,894,589,328 with Prime Factorization

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

2 x 2 x 2 x 19 x 5 x 16 x 447 x 31 x 41 = 6908545920

Therefore, the lowest common multiple of 380,128,894,589,328 is 6908545920.

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 128 x 894 x 589 x 328 = 8400791838720

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

894 : 1, 2, 3, 6, 149, 298, 447, 894

589 : 1, 19, 31, 589

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,128,894,589,328, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

128:2x 2x 2x 2x 2x 2x 2

894:2x 3x 149

589:19x 31

328:2x 2x 2x 41

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 = 8400791838720/(1x1216)

LCM = 8400791838720/1216

LCM = 6908545920

Thus, we can understand that the LCM of 380,128,894,589,328 is 6908545920.

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

• LCM of 927, 980, 881, 477, 589
• LCM of 594, 548, 311, 748, 342
• LCM of 598, 620, 266, 855, 893
• LCM of 443, 552, 212, 107, 461
• LCM of 665, 506, 799, 123, 552

1. What is the LCM of 380, 128, 894, 589, 328?

Answer: LCM of 380, 128, 894, 589, 328 is 6908545920.

2. How to calculate the LCM of 380, 128, 894, 589, 328?

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, 128, 894, 589, 328.

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}.