Given numbers are 239,561,199,424,288

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

The LCM of 239,561,199,424,288 is 135756596448.

Find LCM of 239,561,199,424,288 with Prime Factorization

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

2 x 2 x 2 x 3 x 239 x 187 x 199 x 53 x 12 = 135756596448

Therefore, the lowest common multiple of 239,561,199,424,288 is 135756596448.

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.

239 x 561 x 199 x 424 x 288 = 3258158314752

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.

239 : 1, 239

561 : 1, 3, 11, 17, 33, 51, 187, 561

199 : 1, 199

424 : 1, 2, 4, 8, 53, 106, 212, 424

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 239,561,199,424,288, is 1.

Now, the common factors can be found like this.

239:239

561:3x 11x 17

199:199

424:2x 2x 2x 53

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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 3258158314752/(1x24)

LCM = 3258158314752/24

LCM = 135756596448

Thus, we can understand that the LCM of 239,561,199,424,288 is 135756596448.

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

• LCM of 325, 343, 431, 649, 383
• LCM of 191, 324, 685, 302, 343
• LCM of 321, 145, 774, 283, 154
• LCM of 166, 868, 307, 565, 961
• LCM of 203, 372, 102, 130, 256

1. What is the LCM of 239, 561, 199, 424, 288?

Answer: LCM of 239, 561, 199, 424, 288 is 135756596448.

2. How to calculate the LCM of 239, 561, 199, 424, 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 239, 561, 199, 424, 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}.