Given numbers are 323,319,171,313,730

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

The LCM of 323,319,171,313,730 is 211886317170.

Find LCM of 323,319,171,313,730 with Prime Factorization

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

19 x 17 x 319 x 9 x 313 x 730 = 211886317170

Therefore, the lowest common multiple of 323,319,171,313,730 is 211886317170.

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.

323 x 319 x 171 x 313 x 730 = 4025840026230

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.

323 : 1, 17, 19, 323

319 : 1, 11, 29, 319

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

313 : 1, 313

730 : 1, 2, 5, 10, 73, 146, 365, 730

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,319,171,313,730, is 1.

Now, the common factors can be found like this.

323:17x 19

319:11x 29

171:3x 3x 19

313:313

730:2x 5x 73

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

19 = 19

Therefore, the value for common factors is 19.

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 = 4025840026230/(1x19)

LCM = 4025840026230/19

LCM = 211886317170

Thus, we can understand that the LCM of 323,319,171,313,730 is 211886317170.

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

• LCM of 661, 139, 176, 363, 801
• LCM of 942, 766, 141, 194, 834
• LCM of 368, 172, 962, 877, 343
• LCM of 907, 346, 529, 531, 183
• LCM of 462, 550, 936, 227, 818

1. What is the LCM of 323, 319, 171, 313, 730?

Answer: LCM of 323, 319, 171, 313, 730 is 211886317170.

2. How to calculate the LCM of 323, 319, 171, 313, 730?

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 323, 319, 171, 313, 730.

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}.