Given numbers are 817,237,312

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

The LCM of 817,237,312 is 20137416.

Find LCM of 817,237,312 with Prime Factorization

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

3 x 817 x 79 x 104 = 20137416

Therefore, the lowest common multiple of 817,237,312 is 20137416.

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.

817 x 237 x 312 = 60412248

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.

817 : 1, 19, 43, 817

237 : 1, 3, 79, 237

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,237,312, is 1.

Now, the common factors can be found like this.

817:19x 43

237:3x 79

312:2x 2x 2x 3x 13

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

3 = 3

Therefore, the value for common factors is 3.

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 = 60412248/(1x3)

LCM = 60412248/3

LCM = 20137416

Thus, we can understand that the LCM of 817,237,312 is 20137416.

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

• LCM of 106, 227, 908
• LCM of 510, 125, 310
• LCM of 396, 451, 271
• LCM of 904, 195, 766
• LCM of 234, 940, 209

1. What is the LCM of 817, 237, 312?

Answer: LCM of 817, 237, 312 is 20137416.

2. How to calculate the LCM of 817, 237, 312?

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 817, 237, 312.

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}.