Given numbers are 864,975,310,966

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

The LCM of 864,975,310,966 is 1401472800.

Find LCM of 864,975,310,966 with Prime Factorization

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

2 x 3 x 5 x 144 x 65 x 31 x 161 = 1401472800

Therefore, the lowest common multiple of 864,975,310,966 is 1401472800.

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 975 x 310 x 966 = 252265104000

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

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

310 : 1, 2, 5, 10, 31, 62, 155, 310

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,975,310,966, is 1.

Now, the common factors can be found like this.

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

975:3x 5x 5x 13

310:2x 5x 31

966:2x 3x 7x 23

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 252265104000/(1x180)

LCM = 252265104000/180

LCM = 1401472800

Thus, we can understand that the LCM of 864,975,310,966 is 1401472800.

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

• LCM of 458, 156, 243, 286
• LCM of 199, 872, 904, 271
• LCM of 517, 545, 877, 112
• LCM of 822, 364, 960, 186
• LCM of 801, 885, 786, 227

1. What is the LCM of 864, 975, 310, 966?

Answer: LCM of 864, 975, 310, 966 is 1401472800.

2. How to calculate the LCM of 864, 975, 310, 966?

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, 975, 310, 966.

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}.