Given numbers are 528,450,617,645

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

The LCM of 528,450,617,645 is 1050627600.

Find LCM of 528,450,617,645 with Prime Factorization

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

2 x 3 x 5 x 88 x 15 x 617 x 43 = 1050627600

Therefore, the lowest common multiple of 528,450,617,645 is 1050627600.

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.

528 x 450 x 617 x 645 = 94556484000

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

617 : 1, 617

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,450,617,645, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

450:2x 3x 3x 5x 5

617:617

645:3x 5x 43

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

2x 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 94556484000/(1x90)

LCM = 94556484000/90

LCM = 1050627600

Thus, we can understand that the LCM of 528,450,617,645 is 1050627600.

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

• LCM of 813, 519, 790, 137
• LCM of 455, 905, 529, 478
• LCM of 701, 459, 119, 882
• LCM of 430, 819, 210, 298
• LCM of 461, 506, 800, 970

1. What is the LCM of 528, 450, 617, 645?

Answer: LCM of 528, 450, 617, 645 is 1050627600.

2. How to calculate the LCM of 528, 450, 617, 645?

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 528, 450, 617, 645.

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}.