Given numbers are 522,786,370,714,271

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

The LCM of 522,786,370,714,271 is 407971456830.

Find LCM of 522,786,370,714,271 with Prime Factorization

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

2 x 3 x 87 x 131 x 185 x 119 x 271 = 407971456830

Therefore, the lowest common multiple of 522,786,370,714,271 is 407971456830.

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.

522 x 786 x 370 x 714 x 271 = 29373944891760

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

786 : 1, 2, 3, 6, 131, 262, 393, 786

370 : 1, 2, 5, 10, 37, 74, 185, 370

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,786,370,714,271, is 1.

Now, the common factors can be found like this.

522:2x 3x 3x 29

786:2x 3x 131

370:2x 5x 37

714:2x 3x 7x 17

271:271

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 3 = 72

Therefore, the value for common factors is 72.

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 = 29373944891760/(1x72)

LCM = 29373944891760/72

LCM = 407971456830

Thus, we can understand that the LCM of 522,786,370,714,271 is 407971456830.

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

• LCM of 260, 653, 632, 142, 721
• LCM of 505, 971, 505, 580, 152
• LCM of 507, 641, 960, 703, 105
• LCM of 323, 704, 755, 893, 610
• LCM of 670, 444, 463, 388, 951

1. What is the LCM of 522, 786, 370, 714, 271?

Answer: LCM of 522, 786, 370, 714, 271 is 407971456830.

2. How to calculate the LCM of 522, 786, 370, 714, 271?

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 522, 786, 370, 714, 271.

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}.