Given numbers are 782,192,398

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

The LCM of 782,192,398 is 14939328.

Find LCM of 782,192,398 with Prime Factorization

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

2 x 391 x 96 x 199 = 14939328

Therefore, the lowest common multiple of 782,192,398 is 14939328.

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.

782 x 192 x 398 = 59757312

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.

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

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

398 : 1, 2, 199, 398

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,192,398, is 2.

Now, the common factors can be found like this.

782:2x 17x 23

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

398:2x 199

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

2 = 2

Therefore, the value for common factors is 2.

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 = 59757312/(2x2)

LCM = 59757312/4

LCM = 14939328

Thus, we can understand that the LCM of 782,192,398 is 14939328.

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

• LCM of 730, 371, 120
• LCM of 200, 136, 548
• LCM of 807, 625, 804
• LCM of 426, 683, 864
• LCM of 131, 104, 931

1. What is the LCM of 782, 192, 398?

Answer: LCM of 782, 192, 398 is 14939328.

2. How to calculate the LCM of 782, 192, 398?

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 782, 192, 398.

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}.