Given numbers are 352,361,164,209,230

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

The LCM of 352,361,164,209,230 is 599144480.

Find LCM of 352,361,164,209,230 with Prime Factorization

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

2 x 2 x 11 x 19 x 8 x 1 x 41 x 19 x 115 = 599144480

Therefore, the lowest common multiple of 352,361,164,209,230 is 599144480.

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.

352 x 361 x 164 x 209 x 230 = 1001769570560

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

361 : 1, 19, 361

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

209 : 1, 11, 19, 209

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,361,164,209,230, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

361:19x 19

164:2x 2x 41

209:11x 19

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 11x 19 = 1672

Therefore, the value for common factors is 1672.

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 = 1001769570560/(1x1672)

LCM = 1001769570560/1672

LCM = 599144480

Thus, we can understand that the LCM of 352,361,164,209,230 is 599144480.

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

• LCM of 664, 876, 936, 185, 350
• LCM of 429, 267, 300, 574, 388
• LCM of 223, 721, 397, 339, 794
• LCM of 497, 468, 254, 645, 612
• LCM of 705, 939, 729, 451, 200

1. What is the LCM of 352, 361, 164, 209, 230?

Answer: LCM of 352, 361, 164, 209, 230 is 599144480.

2. How to calculate the LCM of 352, 361, 164, 209, 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 352, 361, 164, 209, 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}.