Given numbers are 466,217,142,164

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

The LCM of 466,217,142,164 is 588732284.

Find LCM of 466,217,142,164 with Prime Factorization

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

2 x 233 x 217 x 71 x 82 = 588732284

Therefore, the lowest common multiple of 466,217,142,164 is 588732284.

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.

466 x 217 x 142 x 164 = 2354929136

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.

466 : 1, 2, 233, 466

217 : 1, 7, 31, 217

142 : 1, 2, 71, 142

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,217,142,164, is 1.

Now, the common factors can be found like this.

466:2x 233

217:7x 31

142:2x 71

164:2x 2x 41

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 = 2354929136/(1x4)

LCM = 2354929136/4

LCM = 588732284

Thus, we can understand that the LCM of 466,217,142,164 is 588732284.

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

• LCM of 814, 662, 531, 494
• LCM of 760, 736, 528, 971
• LCM of 267, 867, 210, 333
• LCM of 753, 232, 393, 573
• LCM of 124, 955, 663, 483

1. What is the LCM of 466, 217, 142, 164?

Answer: LCM of 466, 217, 142, 164 is 588732284.

2. How to calculate the LCM of 466, 217, 142, 164?

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 466, 217, 142, 164.

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}.