Given numbers are 162,211,208,182

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

The LCM of 162,211,208,182 is 24884496.

Find LCM of 162,211,208,182 with Prime Factorization

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

2 x 13 x 81 x 211 x 8 x 7 = 24884496

Therefore, the lowest common multiple of 162,211,208,182 is 24884496.

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.

162 x 211 x 208 x 182 = 1293993792

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.

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

211 : 1, 211

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

182 : 1, 2, 7, 13, 14, 26, 91, 182

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,211,208,182, is 1.

Now, the common factors can be found like this.

162:2x 3x 3x 3x 3

211:211

208:2x 2x 2x 2x 13

182:2x 7x 13

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 13 = 52

Therefore, the value for common factors is 52.

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 = 1293993792/(1x52)

LCM = 1293993792/52

LCM = 24884496

Thus, we can understand that the LCM of 162,211,208,182 is 24884496.

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

• LCM of 183, 832, 559, 490
• LCM of 589, 526, 807, 854
• LCM of 613, 959, 174, 699
• LCM of 755, 318, 399, 786
• LCM of 699, 463, 437, 695

1. What is the LCM of 162, 211, 208, 182?

Answer: LCM of 162, 211, 208, 182 is 24884496.

2. How to calculate the LCM of 162, 211, 208, 182?

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 162, 211, 208, 182.

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}.