Given numbers are 308,812,588,340

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

The LCM of 308,812,588,340 is 15943620.

Find LCM of 308,812,588,340 with Prime Factorization

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

2 x 2 x 7 x 11 x 29 x 21 x 85 = 15943620

Therefore, the lowest common multiple of 308,812,588,340 is 15943620.

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.

308 x 812 x 588 x 340 = 49999192320

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,812,588,340, is 4.

Now, the common factors can be found like this.

308:2x 2x 7x 11

812:2x 2x 7x 29

588:2x 2x 3x 7x 7

340:2x 2x 5x 17

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 2x 2x 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 49999192320/(4x784)

LCM = 49999192320/3136

LCM = 15943620

Thus, we can understand that the LCM of 308,812,588,340 is 15943620.

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

• LCM of 574, 333, 466, 931
• LCM of 165, 872, 607, 309
• LCM of 207, 169, 558, 281
• LCM of 720, 453, 618, 962
• LCM of 112, 573, 755, 569

1. What is the LCM of 308, 812, 588, 340?

Answer: LCM of 308, 812, 588, 340 is 15943620.

2. How to calculate the LCM of 308, 812, 588, 340?

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 308, 812, 588, 340.

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}.