Given numbers are 397,440,668,214,514

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

The LCM of 397,440,668,214,514 is 802188728440.

Find LCM of 397,440,668,214,514 with Prime Factorization

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

2 x 2 x 397 x 110 x 167 x 107 x 257 = 802188728440

Therefore, the lowest common multiple of 397,440,668,214,514 is 802188728440.

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.

397 x 440 x 668 x 214 x 514 = 12835019655040

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.

397 : 1, 397

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

668 : 1, 2, 4, 167, 334, 668

214 : 1, 2, 107, 214

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,440,668,214,514, is 1.

Now, the common factors can be found like this.

397:397

440:2x 2x 2x 5x 11

668:2x 2x 167

214:2x 107

514:2x 257

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 2 = 16

Therefore, the value for common factors is 16.

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 = 12835019655040/(1x16)

LCM = 12835019655040/16

LCM = 802188728440

Thus, we can understand that the LCM of 397,440,668,214,514 is 802188728440.

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

• LCM of 697, 371, 173, 444, 472
• LCM of 386, 121, 254, 990, 807
• LCM of 776, 650, 961, 292, 507
• LCM of 997, 400, 374, 907, 322
• LCM of 832, 169, 752, 634, 490

1. What is the LCM of 397, 440, 668, 214, 514?

Answer: LCM of 397, 440, 668, 214, 514 is 802188728440.

2. How to calculate the LCM of 397, 440, 668, 214, 514?

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 397, 440, 668, 214, 514.

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}.