Given numbers are 464,217,165,217

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

The LCM of 464,217,165,217 is 16613520.

Find LCM of 464,217,165,217 with Prime Factorization

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

7 x 31 x 464 x 1 x 165 x 1 = 16613520

Therefore, the lowest common multiple of 464,217,165,217 is 16613520.

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.

464 x 217 x 165 x 217 = 3605133840

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

217 : 1, 7, 31, 217

165 : 1, 3, 5, 11, 15, 33, 55, 165

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,217,165,217, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

217:7x 31

165:3x 5x 11

217:7x 31

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

7x 31 = 217

Therefore, the value for common factors is 217.

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 = 3605133840/(1x217)

LCM = 3605133840/217

LCM = 16613520

Thus, we can understand that the LCM of 464,217,165,217 is 16613520.

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

• LCM of 615, 869, 205, 330
• LCM of 730, 931, 915, 244
• LCM of 964, 412, 946, 713
• LCM of 668, 355, 801, 208
• LCM of 446, 840, 420, 170

1. What is the LCM of 464, 217, 165, 217?

Answer: LCM of 464, 217, 165, 217 is 16613520.

2. How to calculate the LCM of 464, 217, 165, 217?

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 464, 217, 165, 217.

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}.