Given numbers are 330,164,178,218

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

The LCM of 330,164,178,218 is 262509060.

Find LCM of 330,164,178,218 with Prime Factorization

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

2 x 165 x 82 x 89 x 109 = 262509060

Therefore, the lowest common multiple of 330,164,178,218 is 262509060.

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.

330 x 164 x 178 x 218 = 2100072480

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.

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

164 : 1, 2, 4, 41, 82, 164

178 : 1, 2, 89, 178

218 : 1, 2, 109, 218

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,164,178,218, is 2.

Now, the common factors can be found like this.

330:2x 3x 5x 11

164:2x 2x 41

178:2x 89

218:2x 109

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2100072480/(2x4)

LCM = 2100072480/8

LCM = 262509060

Thus, we can understand that the LCM of 330,164,178,218 is 262509060.

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

• LCM of 907, 651, 854, 267
• LCM of 595, 166, 791, 639
• LCM of 926, 225, 827, 839
• LCM of 949, 300, 792, 553
• LCM of 582, 887, 504, 472

1. What is the LCM of 330, 164, 178, 218?

Answer: LCM of 330, 164, 178, 218 is 262509060.

2. How to calculate the LCM of 330, 164, 178, 218?

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 330, 164, 178, 218.

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}.