Given numbers are 822,16,338

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

The LCM of 822,16,338 is 1111344.

Find LCM of 822,16,338 with Prime Factorization

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

2 x 411 x 8 x 169 = 1111344

Therefore, the lowest common multiple of 822,16,338 is 1111344.

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.

822 x 16 x 338 = 4445376

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.

822 : 1, 2, 3, 6, 137, 274, 411, 822

16 : 1, 2, 4, 8, 16

338 : 1, 2, 13, 26, 169, 338

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,16,338, is 2.

Now, the common factors can be found like this.

822:2x 3x 137

16:2x 2x 2x 2

338:2x 13x 13

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 = 4445376/(2x2)

LCM = 4445376/4

LCM = 1111344

Thus, we can understand that the LCM of 822,16,338 is 1111344.

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

• LCM of 263, 93, 559
• LCM of 416, 31, 189
• LCM of 859, 11, 872
• LCM of 542, 83, 206
• LCM of 457, 79, 668

1. What is the LCM of 822, 16, 338?

Answer: LCM of 822, 16, 338 is 1111344.

2. How to calculate the LCM of 822, 16, 338?

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 822, 16, 338.

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}.