Given numbers are 528,120,808,754

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

The LCM of 528,120,808,754 is 100523280.

Find LCM of 528,120,808,754 with Prime Factorization

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

2 x 2 x 2 x 3 x 22 x 5 x 101 x 377 = 100523280

Therefore, the lowest common multiple of 528,120,808,754 is 100523280.

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 120 x 808 x 754 = 38600939520

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

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

808 : 1, 2, 4, 8, 101, 202, 404, 808

754 : 1, 2, 13, 26, 29, 58, 377, 754

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,120,808,754, is 2.

Now, the common factors can be found like this.

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

120:2x 2x 2x 3x 5

808:2x 2x 2x 101

754:2x 13x 29

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 = 38600939520/(2x192)

LCM = 38600939520/384

LCM = 100523280

Thus, we can understand that the LCM of 528,120,808,754 is 100523280.

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

• LCM of 754, 839, 135, 315
• LCM of 601, 704, 831, 197
• LCM of 357, 951, 123, 574
• LCM of 349, 753, 383, 169
• LCM of 176, 311, 459, 415

1. What is the LCM of 528, 120, 808, 754?

Answer: LCM of 528, 120, 808, 754 is 100523280.

2. How to calculate the LCM of 528, 120, 808, 754?

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, 120, 808, 754.

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}.