Given numbers are 810,616,529,442,514

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

The LCM of 810,616,529,442,514 is 7495779531240.

Find LCM of 810,616,529,442,514 with Prime Factorization

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

2 x 405 x 308 x 529 x 221 x 257 = 7495779531240

Therefore, the lowest common multiple of 810,616,529,442,514 is 7495779531240.

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.

810 x 616 x 529 x 442 x 514 = 59966236249920

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.

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

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

529 : 1, 23, 529

442 : 1, 2, 13, 17, 26, 34, 221, 442

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,616,529,442,514, is 1.

Now, the common factors can be found like this.

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

616:2x 2x 2x 7x 11

529:23x 23

442:2x 13x 17

514:2x 257

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 2 = 8

Therefore, the value for common factors is 8.

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 = 59966236249920/(1x8)

LCM = 59966236249920/8

LCM = 7495779531240

Thus, we can understand that the LCM of 810,616,529,442,514 is 7495779531240.

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

• LCM of 119, 135, 977, 639, 381
• LCM of 950, 293, 913, 447, 251
• LCM of 128, 657, 813, 644, 126
• LCM of 216, 325, 149, 175, 928
• LCM of 190, 212, 954, 626, 609

1. What is the LCM of 810, 616, 529, 442, 514?

Answer: LCM of 810, 616, 529, 442, 514 is 7495779531240.

2. How to calculate the LCM of 810, 616, 529, 442, 514?

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 810, 616, 529, 442, 514.

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}.