Given numbers are 528,388,766,816

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

The LCM of 528,388,766,816 is 333467376.

Find LCM of 528,388,766,816 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 97 x 383 x 17 = 333467376

Therefore, the lowest common multiple of 528,388,766,816 is 333467376.

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 388 x 766 x 816 = 128051472384

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

388 : 1, 2, 4, 97, 194, 388

766 : 1, 2, 383, 766

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,388,766,816, is 2.

Now, the common factors can be found like this.

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

388:2x 2x 97

766:2x 383

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

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 3 = 192

Therefore, the value for common factors is 192.

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 = 128051472384/(2x192)

LCM = 128051472384/384

LCM = 333467376

Thus, we can understand that the LCM of 528,388,766,816 is 333467376.

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

• LCM of 520, 371, 956, 222
• LCM of 632, 918, 127, 174
• LCM of 646, 656, 700, 721
• LCM of 985, 691, 826, 545
• LCM of 681, 325, 523, 395

1. What is the LCM of 528, 388, 766, 816?

Answer: LCM of 528, 388, 766, 816 is 333467376.

2. How to calculate the LCM of 528, 388, 766, 816?

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, 388, 766, 816.

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}.