Given numbers are 305,734,814,296

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

The LCM of 305,734,814,296 is 364460360.

Find LCM of 305,734,814,296 with Prime Factorization

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

2 x 37 x 305 x 367 x 11 x 4 = 364460360

Therefore, the lowest common multiple of 305,734,814,296 is 364460360.

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.

305 x 734 x 814 x 296 = 53940133280

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.

305 : 1, 5, 61, 305

734 : 1, 2, 367, 734

814 : 1, 2, 11, 22, 37, 74, 407, 814

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,734,814,296, is 1.

Now, the common factors can be found like this.

305:5x 61

734:2x 367

814:2x 11x 37

296:2x 2x 2x 37

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 37 = 148

Therefore, the value for common factors is 148.

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 = 53940133280/(1x148)

LCM = 53940133280/148

LCM = 364460360

Thus, we can understand that the LCM of 305,734,814,296 is 364460360.

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

• LCM of 986, 348, 842, 950
• LCM of 314, 678, 625, 915
• LCM of 159, 525, 679, 177
• LCM of 943, 797, 456, 427
• LCM of 583, 405, 771, 666

1. What is the LCM of 305, 734, 814, 296?

Answer: LCM of 305, 734, 814, 296 is 364460360.

2. How to calculate the LCM of 305, 734, 814, 296?

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 305, 734, 814, 296.

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}.