Given numbers are 864,163,491,688,624

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

The LCM of 864,163,491,688,624 is 38654018208.

Find LCM of 864,163,491,688,624 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 18 x 163 x 491 x 43 x 13 = 38654018208

Therefore, the lowest common multiple of 864,163,491,688,624 is 38654018208.

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 163 x 491 x 688 x 624 = 29686285983744

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

163 : 1, 163

491 : 1, 491

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,163,491,688,624, is 1.

Now, the common factors can be found like this.

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

163:163

491:491

688:2x 2x 2x 2x 43

624:2x 2x 2x 2x 3x 13

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 2x 2x 3 = 768

Therefore, the value for common factors is 768.

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 = 29686285983744/(1x768)

LCM = 29686285983744/768

LCM = 38654018208

Thus, we can understand that the LCM of 864,163,491,688,624 is 38654018208.

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

• LCM of 851, 167, 948, 373, 674
• LCM of 592, 679, 179, 106, 590
• LCM of 567, 235, 130, 333, 751
• LCM of 399, 710, 513, 643, 891
• LCM of 772, 890, 974, 801, 673

1. What is the LCM of 864, 163, 491, 688, 624?

Answer: LCM of 864, 163, 491, 688, 624 is 38654018208.

2. How to calculate the LCM of 864, 163, 491, 688, 624?

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, 163, 491, 688, 624.

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}.