Given numbers are 870,394,380,587

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

The LCM of 870,394,380,587 is 3823025340.

Find LCM of 870,394,380,587 with Prime Factorization

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

2 x 5 x 87 x 197 x 38 x 587 = 3823025340

Therefore, the lowest common multiple of 870,394,380,587 is 3823025340.

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.

870 x 394 x 380 x 587 = 76460506800

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

394 : 1, 2, 197, 394

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

587 : 1, 587

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,394,380,587, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

394:2x 197

380:2x 2x 5x 19

587:587

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 5 = 20

Therefore, the value for common factors is 20.

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 = 76460506800/(1x20)

LCM = 76460506800/20

LCM = 3823025340

Thus, we can understand that the LCM of 870,394,380,587 is 3823025340.

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

• LCM of 326, 129, 688, 204
• LCM of 769, 531, 105, 141
• LCM of 921, 708, 314, 667
• LCM of 245, 387, 172, 461
• LCM of 324, 446, 392, 314

1. What is the LCM of 870, 394, 380, 587?

Answer: LCM of 870, 394, 380, 587 is 3823025340.

2. How to calculate the LCM of 870, 394, 380, 587?

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 870, 394, 380, 587.

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}.