Given numbers are 166,214,168,224

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

The LCM of 166,214,168,224 is 5968032.

Find LCM of 166,214,168,224 with Prime Factorization

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

2 x 2 x 2 x 7 x 83 x 107 x 3 x 4 = 5968032

Therefore, the lowest common multiple of 166,214,168,224 is 5968032.

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.

166 x 214 x 168 x 224 = 1336839168

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.

166 : 1, 2, 83, 166

214 : 1, 2, 107, 214

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,214,168,224, is 2.

Now, the common factors can be found like this.

166:2x 83

214:2x 107

168:2x 2x 2x 3x 7

224:2x 2x 2x 2x 2x 7

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 2x 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 1336839168/(2x112)

LCM = 1336839168/224

LCM = 5968032

Thus, we can understand that the LCM of 166,214,168,224 is 5968032.

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

• LCM of 829, 640, 826, 905
• LCM of 484, 371, 316, 170
• LCM of 333, 634, 137, 139
• LCM of 465, 584, 755, 791
• LCM of 698, 257, 352, 718

1. What is the LCM of 166, 214, 168, 224?

Answer: LCM of 166, 214, 168, 224 is 5968032.

2. How to calculate the LCM of 166, 214, 168, 224?

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 166, 214, 168, 224.

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}.