Given numbers are 527,810,814

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

The LCM of 527,810,814 is 173736090.

Find LCM of 527,810,814 with Prime Factorization

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

2 x 527 x 405 x 407 = 173736090

Therefore, the lowest common multiple of 527,810,814 is 173736090.

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.

527 x 810 x 814 = 347472180

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.

527 : 1, 17, 31, 527

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,810,814, is 1.

Now, the common factors can be found like this.

527:17x 31

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

814:2x 11x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 347472180/(1x2)

LCM = 347472180/2

LCM = 173736090

Thus, we can understand that the LCM of 527,810,814 is 173736090.

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

• LCM of 590, 296, 124
• LCM of 359, 647, 900
• LCM of 336, 472, 650
• LCM of 344, 304, 280
• LCM of 837, 653, 936

1. What is the LCM of 527, 810, 814?

Answer: LCM of 527, 810, 814 is 173736090.

2. How to calculate the LCM of 527, 810, 814?

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 527, 810, 814.

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}.