Given numbers are 415,142,305,288

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

The LCM of 415,142,305,288 is 517641120.

Find LCM of 415,142,305,288 with Prime Factorization

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

2 x 5 x 83 x 71 x 61 x 144 = 517641120

Therefore, the lowest common multiple of 415,142,305,288 is 517641120.

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 142 x 305 x 288 = 5176411200

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

142 : 1, 2, 71, 142

305 : 1, 5, 61, 305

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,142,305,288, is 1.

Now, the common factors can be found like this.

415:5x 83

142:2x 71

305:5x 61

288:2x 2x 2x 2x 2x 3x 3

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 5176411200/(1x10)

LCM = 5176411200/10

LCM = 517641120

Thus, we can understand that the LCM of 415,142,305,288 is 517641120.

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

• LCM of 314, 858, 363, 469
• LCM of 978, 636, 521, 229
• LCM of 332, 166, 805, 706
• LCM of 560, 769, 777, 469
• LCM of 751, 975, 271, 295

1. What is the LCM of 415, 142, 305, 288?

Answer: LCM of 415, 142, 305, 288 is 517641120.

2. How to calculate the LCM of 415, 142, 305, 288?

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, 142, 305, 288.

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}.