Given numbers are 864,399,163,427,744

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

The LCM of 864,399,163,427,744 is 35419670496.

Find LCM of 864,399,163,427,744 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 36 x 19 x 163 x 61 x 31 = 35419670496

Therefore, the lowest common multiple of 864,399,163,427,744 is 35419670496.

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 399 x 163 x 427 x 744 = 17851513929984

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

399 : 1, 3, 7, 19, 21, 57, 133, 399

163 : 1, 163

427 : 1, 7, 61, 427

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,399,163,427,744, is 1.

Now, the common factors can be found like this.

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

399:3x 7x 19

163:163

427:7x 61

744:2x 2x 2x 3x 31

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 7 = 504

Therefore, the value for common factors is 504.

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 = 17851513929984/(1x504)

LCM = 17851513929984/504

LCM = 35419670496

Thus, we can understand that the LCM of 864,399,163,427,744 is 35419670496.

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

• LCM of 942, 494, 714, 240, 404
• LCM of 270, 291, 535, 389, 742
• LCM of 784, 644, 329, 868, 558
• LCM of 975, 253, 110, 414, 565
• LCM of 240, 865, 498, 768, 810

1. What is the LCM of 864, 399, 163, 427, 744?

Answer: LCM of 864, 399, 163, 427, 744 is 35419670496.

2. How to calculate the LCM of 864, 399, 163, 427, 744?

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, 399, 163, 427, 744.

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}.