Given numbers are 330,416,391,968

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

The LCM of 330,416,391,968 is 295220640.

Find LCM of 330,416,391,968 with Prime Factorization

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

2 x 2 x 2 x 11 x 15 x 52 x 391 x 11 = 295220640

Therefore, the lowest common multiple of 330,416,391,968 is 295220640.

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.

330 x 416 x 391 x 968 = 51958832640

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.

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

391 : 1, 17, 23, 391

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,416,391,968, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

416:2x 2x 2x 2x 2x 13

391:17x 23

968:2x 2x 2x 11x 11

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 2x 11 = 176

Therefore, the value for common factors is 176.

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 = 51958832640/(1x176)

LCM = 51958832640/176

LCM = 295220640

Thus, we can understand that the LCM of 330,416,391,968 is 295220640.

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

• LCM of 100, 231, 412, 779
• LCM of 673, 292, 313, 147
• LCM of 878, 375, 905, 581
• LCM of 571, 461, 597, 580
• LCM of 221, 940, 663, 308

1. What is the LCM of 330, 416, 391, 968?

Answer: LCM of 330, 416, 391, 968 is 295220640.

2. How to calculate the LCM of 330, 416, 391, 968?

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 330, 416, 391, 968.

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}.