Given numbers are 633,960,968,257

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

The LCM of 633,960,968,257 is 6299008320.

Find LCM of 633,960,968,257 with Prime Factorization

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

2 x 2 x 2 x 3 x 211 x 40 x 121 x 257 = 6299008320

Therefore, the lowest common multiple of 633,960,968,257 is 6299008320.

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.

633 x 960 x 968 x 257 = 151176199680

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.

633 : 1, 3, 211, 633

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,960,968,257, is 1.

Now, the common factors can be found like this.

633:3x 211

960:2x 2x 2x 2x 2x 2x 3x 5

968:2x 2x 2x 11x 11

257:257

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 = 151176199680/(1x24)

LCM = 151176199680/24

LCM = 6299008320

Thus, we can understand that the LCM of 633,960,968,257 is 6299008320.

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

• LCM of 787, 941, 404, 732
• LCM of 666, 123, 616, 212
• LCM of 324, 855, 993, 704
• LCM of 216, 338, 459, 156
• LCM of 687, 782, 643, 362

1. What is the LCM of 633, 960, 968, 257?

Answer: LCM of 633, 960, 968, 257 is 6299008320.

2. How to calculate the LCM of 633, 960, 968, 257?

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 633, 960, 968, 257.

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}.