Given numbers are 814,358,882,271,750

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

The LCM of 814,358,882,271,750 is 2176683720750.

Find LCM of 814,358,882,271,750 with Prime Factorization

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

2 x 3 x 407 x 179 x 147 x 271 x 125 = 2176683720750

Therefore, the lowest common multiple of 814,358,882,271,750 is 2176683720750.

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.

814 x 358 x 882 x 271 x 750 = 52240409298000

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

358 : 1, 2, 179, 358

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

271 : 1, 271

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,358,882,271,750, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

358:2x 179

882:2x 3x 3x 7x 7

271:271

750:2x 3x 5x 5x 5

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 3 = 24

Therefore, the value for common factors is 24.

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 = 52240409298000/(1x24)

LCM = 52240409298000/24

LCM = 2176683720750

Thus, we can understand that the LCM of 814,358,882,271,750 is 2176683720750.

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

• LCM of 556, 318, 749, 301, 561
• LCM of 343, 906, 832, 225, 481
• LCM of 399, 731, 230, 162, 601
• LCM of 605, 570, 914, 733, 401
• LCM of 438, 815, 596, 922, 260

1. What is the LCM of 814, 358, 882, 271, 750?

Answer: LCM of 814, 358, 882, 271, 750 is 2176683720750.

2. How to calculate the LCM of 814, 358, 882, 271, 750?

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 814, 358, 882, 271, 750.

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}.