Given numbers are 644,237,506,566,864

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

The LCM of 644,237,506,566,864 is 34209429408.

Find LCM of 644,237,506,566,864 with Prime Factorization

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

2 x 2 x 3 x 23 x 7 x 79 x 11 x 283 x 72 = 34209429408

Therefore, the lowest common multiple of 644,237,506,566,864 is 34209429408.

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.

644 x 237 x 506 x 566 x 864 = 37767210066432

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

237 : 1, 3, 79, 237

506 : 1, 2, 11, 22, 23, 46, 253, 506

566 : 1, 2, 283, 566

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,237,506,566,864, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

237:3x 79

506:2x 11x 23

566:2x 283

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

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 3x 23 = 1104

Therefore, the value for common factors is 1104.

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 = 37767210066432/(1x1104)

LCM = 37767210066432/1104

LCM = 34209429408

Thus, we can understand that the LCM of 644,237,506,566,864 is 34209429408.

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

• LCM of 324, 450, 234, 498, 523
• LCM of 523, 182, 664, 787, 168
• LCM of 228, 509, 694, 928, 513
• LCM of 704, 898, 198, 292, 346
• LCM of 814, 771, 668, 283, 959

1. What is the LCM of 644, 237, 506, 566, 864?

Answer: LCM of 644, 237, 506, 566, 864 is 34209429408.

2. How to calculate the LCM of 644, 237, 506, 566, 864?

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 644, 237, 506, 566, 864.

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}.