Given numbers are 824,214,810

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

The LCM of 824,214,810 is 35708040.

Find LCM of 824,214,810 with Prime Factorization

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

2 x 412 x 107 x 405 = 35708040

Therefore, the lowest common multiple of 824,214,810 is 35708040.

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.

824 x 214 x 810 = 142832160

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

214 : 1, 2, 107, 214

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,214,810, is 2.

Now, the common factors can be found like this.

824:2x 2x 2x 103

214:2x 107

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

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 = 142832160/(2x2)

LCM = 142832160/4

LCM = 35708040

Thus, we can understand that the LCM of 824,214,810 is 35708040.

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

• LCM of 513, 738, 587
• LCM of 284, 530, 917
• LCM of 804, 165, 872
• LCM of 495, 477, 343
• LCM of 278, 894, 570

1. What is the LCM of 824, 214, 810?

Answer: LCM of 824, 214, 810 is 35708040.

2. How to calculate the LCM of 824, 214, 810?

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 824, 214, 810.

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}.