Given numbers are 450,128,968,368,722

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

The LCM of 450,128,968,368,722 is 28934294400.

Find LCM of 450,128,968,368,722 with Prime Factorization

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

2 x 2 x 2 x 2 x 225 x 8 x 121 x 23 x 361 = 28934294400

Therefore, the lowest common multiple of 450,128,968,368,722 is 28934294400.

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.

450 x 128 x 968 x 368 x 722 = 14814358732800

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.

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

722 : 1, 2, 19, 38, 361, 722

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,128,968,368,722, is 2.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

128:2x 2x 2x 2x 2x 2x 2

968:2x 2x 2x 11x 11

368:2x 2x 2x 2x 23

722:2x 19x 19

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 2x 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 14814358732800/(2x256)

LCM = 14814358732800/512

LCM = 28934294400

Thus, we can understand that the LCM of 450,128,968,368,722 is 28934294400.

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

• LCM of 558, 835, 757, 952, 653
• LCM of 883, 915, 803, 608, 131
• LCM of 497, 784, 805, 634, 571
• LCM of 424, 233, 113, 583, 654
• LCM of 633, 337, 335, 514, 813

1. What is the LCM of 450, 128, 968, 368, 722?

Answer: LCM of 450, 128, 968, 368, 722 is 28934294400.

2. How to calculate the LCM of 450, 128, 968, 368, 722?

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 450, 128, 968, 368, 722.

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}.