Given numbers are 204,234,966,164,230

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

The LCM of 204,234,966,164,230 is 262587780.

Find LCM of 204,234,966,164,230 with Prime Factorization

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

2 x 2 x 3 x 23 x 17 x 39 x 7 x 41 x 5 = 262587780

Therefore, the lowest common multiple of 204,234,966,164,230 is 262587780.

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.

204 x 234 x 966 x 164 x 230 = 1739381454720

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,234,966,164,230, is 2.

Now, the common factors can be found like this.

204:2x 2x 3x 17

234:2x 3x 3x 13

966:2x 3x 7x 23

164:2x 2x 41

230:2x 5x 23

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 3x 3x 23 = 3312

Therefore, the value for common factors is 3312.

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 = 1739381454720/(2x3312)

LCM = 1739381454720/6624

LCM = 262587780

Thus, we can understand that the LCM of 204,234,966,164,230 is 262587780.

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

• LCM of 117, 143, 659, 931, 140
• LCM of 705, 544, 771, 683, 752
• LCM of 930, 898, 877, 929, 946
• LCM of 296, 257, 120, 520, 251
• LCM of 749, 760, 954, 421, 188

1. What is the LCM of 204, 234, 966, 164, 230?

Answer: LCM of 204, 234, 966, 164, 230 is 262587780.

2. How to calculate the LCM of 204, 234, 966, 164, 230?

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 204, 234, 966, 164, 230.

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}.