Given numbers are 864,752,916,232

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

The LCM of 864,752,916,232 is 269677728.

Find LCM of 864,752,916,232 with Prime Factorization

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

2 x 2 x 2 x 2 x 54 x 47 x 229 x 29 = 269677728

Therefore, the lowest common multiple of 864,752,916,232 is 269677728.

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 752 x 916 x 232 = 138074996736

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

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

916 : 1, 2, 4, 229, 458, 916

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,752,916,232, is 4.

Now, the common factors can be found like this.

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

752:2x 2x 2x 2x 47

916:2x 2x 229

232:2x 2x 2x 29

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 2 = 128

Therefore, the value for common factors is 128.

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 = 138074996736/(4x128)

LCM = 138074996736/512

LCM = 269677728

Thus, we can understand that the LCM of 864,752,916,232 is 269677728.

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

• LCM of 434, 902, 616, 427
• LCM of 665, 606, 903, 302
• LCM of 131, 744, 531, 119
• LCM of 506, 751, 359, 976
• LCM of 708, 270, 393, 725

1. What is the LCM of 864, 752, 916, 232?

Answer: LCM of 864, 752, 916, 232 is 269677728.

2. How to calculate the LCM of 864, 752, 916, 232?

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, 752, 916, 232.

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}.