Given numbers are 214,440,581,933,311

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

The LCM of 214,440,581,933,311 is 25520796840.

Find LCM of 214,440,581,933,311 with Prime Factorization

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

2 x 311 x 107 x 220 x 581 x 3 x 1 = 25520796840

Therefore, the lowest common multiple of 214,440,581,933,311 is 25520796840.

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.

214 x 440 x 581 x 933 x 311 = 15873935634480

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.

214 : 1, 2, 107, 214

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

581 : 1, 7, 83, 581

933 : 1, 3, 311, 933

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,440,581,933,311, is 1.

Now, the common factors can be found like this.

214:2x 107

440:2x 2x 2x 5x 11

581:7x 83

933:3x 311

311:311

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 311 = 622

Therefore, the value for common factors is 622.

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 = 15873935634480/(1x622)

LCM = 15873935634480/622

LCM = 25520796840

Thus, we can understand that the LCM of 214,440,581,933,311 is 25520796840.

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

• LCM of 332, 413, 152, 108, 835
• LCM of 688, 937, 525, 724, 780
• LCM of 893, 568, 135, 254, 452
• LCM of 796, 677, 795, 209, 333
• LCM of 756, 414, 764, 179, 583

1. What is the LCM of 214, 440, 581, 933, 311?

Answer: LCM of 214, 440, 581, 933, 311 is 25520796840.

2. How to calculate the LCM of 214, 440, 581, 933, 311?

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 214, 440, 581, 933, 311.

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}.