Given numbers are 528,348,816,414

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

The LCM of 528,348,816,414 is 17960976.

Find LCM of 528,348,816,414 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 29 x 17 x 69 = 17960976

Therefore, the lowest common multiple of 528,348,816,414 is 17960976.

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 348 x 816 x 414 = 62073133056

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,348,816,414, is 6.

Now, the common factors can be found like this.

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

348:2x 2x 3x 29

816:2x 2x 2x 2x 3x 17

414:2x 3x 3x 23

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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 62073133056/(6x576)

LCM = 62073133056/3456

LCM = 17960976

Thus, we can understand that the LCM of 528,348,816,414 is 17960976.

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

• LCM of 776, 373, 257, 299
• LCM of 601, 771, 501, 800
• LCM of 694, 351, 852, 706
• LCM of 744, 527, 516, 698
• LCM of 506, 429, 618, 571

1. What is the LCM of 528, 348, 816, 414?

Answer: LCM of 528, 348, 816, 414 is 17960976.

2. How to calculate the LCM of 528, 348, 816, 414?

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, 348, 816, 414.

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}.