Given numbers are 310,605,201,515,284

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

The LCM of 310,605,201,515,284 is 110272873260.

Find LCM of 310,605,201,515,284 with Prime Factorization

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

2 x 5 x 31 x 121 x 201 x 103 x 142 = 110272873260

Therefore, the lowest common multiple of 310,605,201,515,284 is 110272873260.

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.

310 x 605 x 201 x 515 x 284 = 5513643663000

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

605 : 1, 5, 11, 55, 121, 605

201 : 1, 3, 67, 201

515 : 1, 5, 103, 515

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,605,201,515,284, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

605:5x 11x 11

201:3x 67

515:5x 103

284:2x 2x 71

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

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 5513643663000/(1x50)

LCM = 5513643663000/50

LCM = 110272873260

Thus, we can understand that the LCM of 310,605,201,515,284 is 110272873260.

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

• LCM of 934, 178, 250, 887, 564
• LCM of 317, 146, 460, 980, 348
• LCM of 783, 374, 295, 948, 512
• LCM of 855, 404, 535, 953, 950
• LCM of 617, 110, 507, 411, 763

1. What is the LCM of 310, 605, 201, 515, 284?

Answer: LCM of 310, 605, 201, 515, 284 is 110272873260.

2. How to calculate the LCM of 310, 605, 201, 515, 284?

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 310, 605, 201, 515, 284.

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}.