Given numbers are 633,968,280,305,825

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

The LCM of 633,968,280,305,825 is 6541042200.

Find LCM of 633,968,280,305,825 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 211 x 11 x 7 x 61 x 5 = 6541042200

Therefore, the lowest common multiple of 633,968,280,305,825 is 6541042200.

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 968 x 280 x 305 x 825 = 43170878520000

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

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

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

305 : 1, 5, 61, 305

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,968,280,305,825, is 1.

Now, the common factors can be found like this.

633:3x 211

968:2x 2x 2x 11x 11

280:2x 2x 2x 5x 7

305:5x 61

825:3x 5x 5x 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 3x 5x 5x 11 = 6600

Therefore, the value for common factors is 6600.

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 = 43170878520000/(1x6600)

LCM = 43170878520000/6600

LCM = 6541042200

Thus, we can understand that the LCM of 633,968,280,305,825 is 6541042200.

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

• LCM of 851, 727, 162, 518, 359
• LCM of 645, 197, 822, 948, 393
• LCM of 912, 802, 835, 384, 841
• LCM of 341, 455, 333, 359, 281
• LCM of 134, 793, 999, 926, 209

1. What is the LCM of 633, 968, 280, 305, 825?

Answer: LCM of 633, 968, 280, 305, 825 is 6541042200.

2. How to calculate the LCM of 633, 968, 280, 305, 825?

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, 968, 280, 305, 825.

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}.