Given numbers are 864,460,378,989

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

The LCM of 864,460,378,989 is 29907360.

Find LCM of 864,460,378,989 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 23 x 8 x 5 x 7 x 43 = 29907360

Therefore, the lowest common multiple of 864,460,378,989 is 29907360.

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.

864 x 460 x 378 x 989 = 148579764480

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,460,378,989, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

460:2x 2x 5x 23

378:2x 3x 3x 3x 7

989:23x 43

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 3x 3x 3x 23 = 4968

Therefore, the value for common factors is 4968.

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 = 148579764480/(1x4968)

LCM = 148579764480/4968

LCM = 29907360

Thus, we can understand that the LCM of 864,460,378,989 is 29907360.

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

• LCM of 546, 698, 163, 870
• LCM of 784, 797, 878, 533
• LCM of 662, 357, 131, 266
• LCM of 200, 746, 362, 853
• LCM of 561, 400, 833, 159

1. What is the LCM of 864, 460, 378, 989?

Answer: LCM of 864, 460, 378, 989 is 29907360.

2. How to calculate the LCM of 864, 460, 378, 989?

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 864, 460, 378, 989.

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}.