Given numbers are 528,810,833,214,133

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

The LCM of 528,810,833,214,133 is 120711895920.

Find LCM of 528,810,833,214,133 with Prime Factorization

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

2 x 3 x 7 x 88 x 135 x 119 x 107 x 19 = 120711895920

Therefore, the lowest common multiple of 528,810,833,214,133 is 120711895920.

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 810 x 833 x 214 x 133 = 10139799257280

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

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

833 : 1, 7, 17, 49, 119, 833

214 : 1, 2, 107, 214

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,810,833,214,133, is 1.

Now, the common factors can be found like this.

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

810:2x 3x 3x 3x 3x 5

833:7x 7x 17

214:2x 107

133:7x 19

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 3x 7 = 84

Therefore, the value for common factors is 84.

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 = 10139799257280/(1x84)

LCM = 10139799257280/84

LCM = 120711895920

Thus, we can understand that the LCM of 528,810,833,214,133 is 120711895920.

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

• LCM of 101, 783, 258, 694, 791
• LCM of 685, 205, 758, 129, 145
• LCM of 641, 443, 651, 650, 722
• LCM of 167, 261, 430, 827, 469
• LCM of 244, 961, 496, 270, 487

1. What is the LCM of 528, 810, 833, 214, 133?

Answer: LCM of 528, 810, 833, 214, 133 is 120711895920.

2. How to calculate the LCM of 528, 810, 833, 214, 133?

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, 810, 833, 214, 133.

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}.