Given numbers are 528,219,914,249

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

The LCM of 528,219,914,249 is 1462012464.

Find LCM of 528,219,914,249 with Prime Factorization

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

2 x 3 x 88 x 73 x 457 x 83 = 1462012464

Therefore, the lowest common multiple of 528,219,914,249 is 1462012464.

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 219 x 914 x 249 = 26316224352

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

219 : 1, 3, 73, 219

914 : 1, 2, 457, 914

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,219,914,249, is 1.

Now, the common factors can be found like this.

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

219:3x 73

914:2x 457

249:3x 83

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 3 = 18

Therefore, the value for common factors is 18.

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 = 26316224352/(1x18)

LCM = 26316224352/18

LCM = 1462012464

Thus, we can understand that the LCM of 528,219,914,249 is 1462012464.

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

• LCM of 840, 296, 880, 604
• LCM of 638, 136, 487, 160
• LCM of 928, 281, 506, 530
• LCM of 319, 599, 111, 783
• LCM of 161, 829, 312, 522

1. What is the LCM of 528, 219, 914, 249?

Answer: LCM of 528, 219, 914, 249 is 1462012464.

2. How to calculate the LCM of 528, 219, 914, 249?

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, 219, 914, 249.

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}.