Given numbers are 305,675,122,457

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

The LCM of 305,675,122,457 is 37633950.

Find LCM of 305,675,122,457 with Prime Factorization

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

5 x 61 x 1 x 135 x 2 x 457 = 37633950

Therefore, the lowest common multiple of 305,675,122,457 is 37633950.

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 675 x 122 x 457 = 11478354750

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

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

122 : 1, 2, 61, 122

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,675,122,457, is 1.

Now, the common factors can be found like this.

305:5x 61

675:3x 3x 3x 5x 5

122:2x 61

457:457

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

5x 61 = 305

Therefore, the value for common factors is 305.

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 = 11478354750/(1x305)

LCM = 11478354750/305

LCM = 37633950

Thus, we can understand that the LCM of 305,675,122,457 is 37633950.

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

• LCM of 826, 533, 301, 838
• LCM of 546, 223, 855, 958
• LCM of 130, 233, 180, 392
• LCM of 129, 633, 123, 272
• LCM of 193, 369, 871, 185

1. What is the LCM of 305, 675, 122, 457?

Answer: LCM of 305, 675, 122, 457 is 37633950.

2. How to calculate the LCM of 305, 675, 122, 457?

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, 675, 122, 457.

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}.