Given numbers are 128,311,343,360

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

The LCM of 128,311,343,360 is 614436480.

Find LCM of 128,311,343,360 with Prime Factorization

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

2 x 2 x 2 x 16 x 311 x 343 x 45 = 614436480

Therefore, the lowest common multiple of 128,311,343,360 is 614436480.

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.

128 x 311 x 343 x 360 = 4915491840

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.

128 : 1, 2, 4, 8, 16, 32, 64, 128

311 : 1, 311

343 : 1, 7, 49, 343

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,311,343,360, is 1.

Now, the common factors can be found like this.

128:2x 2x 2x 2x 2x 2x 2

311:311

343:7x 7x 7

360:2x 2x 2x 3x 3x 5

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 2 = 8

Therefore, the value for common factors is 8.

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 = 4915491840/(1x8)

LCM = 4915491840/8

LCM = 614436480

Thus, we can understand that the LCM of 128,311,343,360 is 614436480.

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

• LCM of 800, 529, 366, 634
• LCM of 460, 699, 952, 191
• LCM of 288, 732, 965, 278
• LCM of 989, 818, 725, 569
• LCM of 812, 717, 711, 815

1. What is the LCM of 128, 311, 343, 360?

Answer: LCM of 128, 311, 343, 360 is 614436480.

2. How to calculate the LCM of 128, 311, 343, 360?

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 128, 311, 343, 360.

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}.