Given numbers are 464,891,966,375

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

The LCM of 464,891,966,375 is 8320158000.

Find LCM of 464,891,966,375 with Prime Factorization

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

2 x 3 x 232 x 297 x 161 x 125 = 8320158000

Therefore, the lowest common multiple of 464,891,966,375 is 8320158000.

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.

464 x 891 x 966 x 375 = 149762844000

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,891,966,375, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

891:3x 3x 3x 3x 11

966:2x 3x 7x 23

375:3x 5x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 149762844000/(1x18)

LCM = 149762844000/18

LCM = 8320158000

Thus, we can understand that the LCM of 464,891,966,375 is 8320158000.

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

• LCM of 404, 341, 361, 731
• LCM of 562, 592, 923, 985
• LCM of 741, 157, 783, 140
• LCM of 564, 557, 405, 637
• LCM of 227, 540, 753, 597

1. What is the LCM of 464, 891, 966, 375?

Answer: LCM of 464, 891, 966, 375 is 8320158000.

2. How to calculate the LCM of 464, 891, 966, 375?

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 464, 891, 966, 375.

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}.