Given numbers are 306,319,217,368,331

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

The LCM of 306,319,217,368,331 is 1290083023152.

Find LCM of 306,319,217,368,331 with Prime Factorization

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

2 x 153 x 319 x 217 x 184 x 331 = 1290083023152

Therefore, the lowest common multiple of 306,319,217,368,331 is 1290083023152.

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.

306 x 319 x 217 x 368 x 331 = 2580166046304

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

319 : 1, 11, 29, 319

217 : 1, 7, 31, 217

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,319,217,368,331, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

319:11x 29

217:7x 31

368:2x 2x 2x 2x 23

331:331

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

2 = 2

Therefore, the value for common factors is 2.

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 = 2580166046304/(1x2)

LCM = 2580166046304/2

LCM = 1290083023152

Thus, we can understand that the LCM of 306,319,217,368,331 is 1290083023152.

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

• LCM of 519, 544, 425, 133, 126
• LCM of 622, 488, 635, 159, 323
• LCM of 137, 107, 250, 148, 664
• LCM of 756, 860, 612, 351, 720
• LCM of 360, 948, 143, 821, 723

1. What is the LCM of 306, 319, 217, 368, 331?

Answer: LCM of 306, 319, 217, 368, 331 is 1290083023152.

2. How to calculate the LCM of 306, 319, 217, 368, 331?

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 306, 319, 217, 368, 331.

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}.