Given numbers are 239,782,170,442

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

The LCM of 239,782,170,442 is 12148370.

Find LCM of 239,782,170,442 with Prime Factorization

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

2 x 17 x 239 x 23 x 5 x 13 = 12148370

Therefore, the lowest common multiple of 239,782,170,442 is 12148370.

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 782 x 170 x 442 = 14043515720

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

170 : 1, 2, 5, 10, 17, 34, 85, 170

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,782,170,442, is 1.

Now, the common factors can be found like this.

239:239

782:2x 17x 23

170:2x 5x 17

442:2x 13x 17

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 17x 17 = 1156

Therefore, the value for common factors is 1156.

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 = 14043515720/(1x1156)

LCM = 14043515720/1156

LCM = 12148370

Thus, we can understand that the LCM of 239,782,170,442 is 12148370.

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

• LCM of 231, 247, 629, 426
• LCM of 651, 260, 274, 242
• LCM of 707, 698, 445, 739
• LCM of 302, 198, 439, 466
• LCM of 334, 601, 330, 260

1. What is the LCM of 239, 782, 170, 442?

Answer: LCM of 239, 782, 170, 442 is 12148370.

2. How to calculate the LCM of 239, 782, 170, 442?

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, 782, 170, 442.

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}.