Given numbers are 308,480,347,560

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

The LCM of 308,480,347,560 is 12825120.

Find LCM of 308,480,347,560 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 7 x 11 x 6 x 347 x 1 = 12825120

Therefore, the lowest common multiple of 308,480,347,560 is 12825120.

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 480 x 347 x 560 = 28728268800

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

347 : 1, 347

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,480,347,560, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

480:2x 2x 2x 2x 2x 3x 5

347:347

560:2x 2x 2x 2x 5x 7

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 2x 2x 5x 7 = 2240

Therefore, the value for common factors is 2240.

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 = 28728268800/(1x2240)

LCM = 28728268800/2240

LCM = 12825120

Thus, we can understand that the LCM of 308,480,347,560 is 12825120.

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

• LCM of 215, 736, 513, 122
• LCM of 857, 409, 186, 881
• LCM of 583, 525, 642, 780
• LCM of 720, 755, 150, 545
• LCM of 816, 314, 595, 972

1. What is the LCM of 308, 480, 347, 560?

Answer: LCM of 308, 480, 347, 560 is 12825120.

2. How to calculate the LCM of 308, 480, 347, 560?

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, 480, 347, 560.

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}.