Given numbers are 214,646,516,644,299

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

The LCM of 214,646,516,644,299 is 37325465268.

Find LCM of 214,646,516,644,299 with Prime Factorization

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

2 x 2 x 23 x 107 x 323 x 129 x 7 x 13 = 37325465268

Therefore, the lowest common multiple of 214,646,516,644,299 is 37325465268.

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.

214 x 646 x 516 x 644 x 299 = 13735771218624

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.

214 : 1, 2, 107, 214

646 : 1, 2, 17, 19, 34, 38, 323, 646

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

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,646,516,644,299, is 1.

Now, the common factors can be found like this.

214:2x 107

646:2x 17x 19

516:2x 2x 3x 43

644:2x 2x 7x 23

299:13x 23

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 23 = 368

Therefore, the value for common factors is 368.

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 = 13735771218624/(1x368)

LCM = 13735771218624/368

LCM = 37325465268

Thus, we can understand that the LCM of 214,646,516,644,299 is 37325465268.

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

• LCM of 835, 421, 634, 271, 734
• LCM of 431, 309, 999, 578, 977
• LCM of 208, 758, 686, 551, 656
• LCM of 714, 270, 173, 364, 807
• LCM of 612, 174, 940, 812, 348

1. What is the LCM of 214, 646, 516, 644, 299?

Answer: LCM of 214, 646, 516, 644, 299 is 37325465268.

2. How to calculate the LCM of 214, 646, 516, 644, 299?

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 214, 646, 516, 644, 299.

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}.