Given numbers are 513,303,321,208,722

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

The LCM of 513,303,321,208,722 is 21909852432.

Find LCM of 513,303,321,208,722 with Prime Factorization

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

2 x 3 x 19 x 9 x 101 x 107 x 104 x 19 = 21909852432

Therefore, the lowest common multiple of 513,303,321,208,722 is 21909852432.

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.

513 x 303 x 321 x 208 x 722 = 7493169531744

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

303 : 1, 3, 101, 303

321 : 1, 3, 107, 321

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,303,321,208,722, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

303:3x 101

321:3x 107

208:2x 2x 2x 2x 13

722:2x 19x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 19 = 342

Therefore, the value for common factors is 342.

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 = 7493169531744/(1x342)

LCM = 7493169531744/342

LCM = 21909852432

Thus, we can understand that the LCM of 513,303,321,208,722 is 21909852432.

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

• LCM of 528, 178, 620, 214, 143
• LCM of 212, 322, 423, 369, 843
• LCM of 164, 833, 768, 228, 432
• LCM of 220, 774, 957, 519, 414
• LCM of 709, 798, 560, 516, 367

1. What is the LCM of 513, 303, 321, 208, 722?

Answer: LCM of 513, 303, 321, 208, 722 is 21909852432.

2. How to calculate the LCM of 513, 303, 321, 208, 722?

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 513, 303, 321, 208, 722.

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}.