Given numbers are 192,119,428,323,214

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

The LCM of 192,119,428,323,214 is 46449984.

Find LCM of 192,119,428,323,214 with Prime Factorization

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

2 x 2 x 17 x 107 x 48 x 7 x 1 x 19 x 1 = 46449984

Therefore, the lowest common multiple of 192,119,428,323,214 is 46449984.

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.

192 x 119 x 428 x 323 x 214 = 675940167168

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.

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

119 : 1, 7, 17, 119

428 : 1, 2, 4, 107, 214, 428

323 : 1, 17, 19, 323

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,119,428,323,214, is 1.

Now, the common factors can be found like this.

192:2x 2x 2x 2x 2x 2x 3

119:7x 17

428:2x 2x 107

323:17x 19

214:2x 107

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 17x 107 = 14552

Therefore, the value for common factors is 14552.

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 = 675940167168/(1x14552)

LCM = 675940167168/14552

LCM = 46449984

Thus, we can understand that the LCM of 192,119,428,323,214 is 46449984.

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

• LCM of 515, 773, 644, 946, 633
• LCM of 108, 802, 243, 432, 579
• LCM of 571, 279, 963, 945, 484
• LCM of 488, 445, 545, 470, 488
• LCM of 651, 892, 765, 176, 283

1. What is the LCM of 192, 119, 428, 323, 214?

Answer: LCM of 192, 119, 428, 323, 214 is 46449984.

2. How to calculate the LCM of 192, 119, 428, 323, 214?

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 192, 119, 428, 323, 214.

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}.