Given numbers are 882,464,489,221,714

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

The LCM of 882,464,489,221,714 is 7371170352.

Find LCM of 882,464,489,221,714 with Prime Factorization

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

2 x 3 x 7 x 17 x 21 x 232 x 163 x 13 x 1 = 7371170352

Therefore, the lowest common multiple of 882,464,489,221,714 is 7371170352.

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.

882 x 464 x 489 x 221 x 714 = 31578093787968

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.

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

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

489 : 1, 3, 163, 489

221 : 1, 13, 17, 221

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,464,489,221,714, is 1.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

464:2x 2x 2x 2x 29

489:3x 163

221:13x 17

714:2x 3x 7x 17

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 3x 3x 7x 17 = 4284

Therefore, the value for common factors is 4284.

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 = 31578093787968/(1x4284)

LCM = 31578093787968/4284

LCM = 7371170352

Thus, we can understand that the LCM of 882,464,489,221,714 is 7371170352.

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

• LCM of 808, 758, 143, 930, 676
• LCM of 303, 176, 961, 613, 940
• LCM of 108, 313, 943, 404, 989
• LCM of 619, 185, 364, 165, 446
• LCM of 676, 864, 556, 735, 102

1. What is the LCM of 882, 464, 489, 221, 714?

Answer: LCM of 882, 464, 489, 221, 714 is 7371170352.

2. How to calculate the LCM of 882, 464, 489, 221, 714?

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 882, 464, 489, 221, 714.

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}.