Given numbers are 516,304,299,422,714

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

The LCM of 516,304,299,422,714 is 294417688656.

Find LCM of 516,304,299,422,714 with Prime Factorization

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

2 x 2 x 3 x 43 x 76 x 299 x 211 x 119 = 294417688656

Therefore, the lowest common multiple of 516,304,299,422,714 is 294417688656.

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.

516 x 304 x 299 x 422 x 714 = 14132049055488

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

299 : 1, 13, 23, 299

422 : 1, 2, 211, 422

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 516,304,299,422,714, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

304:2x 2x 2x 2x 19

299:13x 23

422:2x 211

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 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 14132049055488/(1x48)

LCM = 14132049055488/48

LCM = 294417688656

Thus, we can understand that the LCM of 516,304,299,422,714 is 294417688656.

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

• LCM of 287, 118, 818, 705, 794
• LCM of 154, 818, 588, 230, 398
• LCM of 427, 638, 688, 711, 776
• LCM of 777, 681, 413, 310, 236
• LCM of 407, 492, 579, 152, 934

1. What is the LCM of 516, 304, 299, 422, 714?

Answer: LCM of 516, 304, 299, 422, 714 is 294417688656.

2. How to calculate the LCM of 516, 304, 299, 422, 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 516, 304, 299, 422, 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}.