Given numbers are 415,165,305,135,578

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

The LCM of 415,165,305,135,578 is 4345724790.

Find LCM of 415,165,305,135,578 with Prime Factorization

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

3 x 5 x 83 x 11 x 61 x 9 x 578 = 4345724790

Therefore, the lowest common multiple of 415,165,305,135,578 is 4345724790.

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.

415 x 165 x 305 x 135 x 578 = 1629646796250

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.

415 : 1, 5, 83, 415

165 : 1, 3, 5, 11, 15, 33, 55, 165

305 : 1, 5, 61, 305

135 : 1, 3, 5, 9, 15, 27, 45, 135

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,165,305,135,578, is 1.

Now, the common factors can be found like this.

415:5x 83

165:3x 5x 11

305:5x 61

135:3x 3x 3x 5

578:2x 17x 17

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

3x 5x 5x 5 = 375

Therefore, the value for common factors is 375.

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 = 1629646796250/(1x375)

LCM = 1629646796250/375

LCM = 4345724790

Thus, we can understand that the LCM of 415,165,305,135,578 is 4345724790.

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

• LCM of 304, 816, 882, 541, 131
• LCM of 746, 979, 484, 656, 821
• LCM of 834, 842, 954, 983, 368
• LCM of 817, 834, 541, 280, 928
• LCM of 895, 409, 355, 558, 541

1. What is the LCM of 415, 165, 305, 135, 578?

Answer: LCM of 415, 165, 305, 135, 578 is 4345724790.

2. How to calculate the LCM of 415, 165, 305, 135, 578?

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 415, 165, 305, 135, 578.

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}.