Given numbers are 528,214,138,566

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

The LCM of 528,214,138,566 is 367732464.

Find LCM of 528,214,138,566 with Prime Factorization

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

2 x 3 x 88 x 107 x 23 x 283 = 367732464

Therefore, the lowest common multiple of 528,214,138,566 is 367732464.

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 214 x 138 x 566 = 8825579136

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

214 : 1, 2, 107, 214

138 : 1, 2, 3, 6, 23, 46, 69, 138

566 : 1, 2, 283, 566

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,214,138,566, is 2.

Now, the common factors can be found like this.

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

214:2x 107

138:2x 3x 23

566:2x 283

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 3 = 12

Therefore, the value for common factors is 12.

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 = 8825579136/(2x12)

LCM = 8825579136/24

LCM = 367732464

Thus, we can understand that the LCM of 528,214,138,566 is 367732464.

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

• LCM of 675, 250, 861, 587
• LCM of 726, 847, 679, 423
• LCM of 328, 612, 175, 502
• LCM of 274, 287, 758, 578
• LCM of 918, 386, 287, 682

1. What is the LCM of 528, 214, 138, 566?

Answer: LCM of 528, 214, 138, 566 is 367732464.

2. How to calculate the LCM of 528, 214, 138, 566?

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, 214, 138, 566.

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}.