Given numbers are 366,345,429,168,519

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

The LCM of 366,345,429,168,519 is 29155406280.

Find LCM of 366,345,429,168,519 with Prime Factorization

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

2 x 3 x 61 x 115 x 143 x 28 x 173 = 29155406280

Therefore, the lowest common multiple of 366,345,429,168,519 is 29155406280.

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.

366 x 345 x 429 x 168 x 519 = 4723175817360

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

345 : 1, 3, 5, 15, 23, 69, 115, 345

429 : 1, 3, 11, 13, 33, 39, 143, 429

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

519 : 1, 3, 173, 519

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,345,429,168,519, is 3.

Now, the common factors can be found like this.

366:2x 3x 61

345:3x 5x 23

429:3x 11x 13

168:2x 2x 2x 3x 7

519:3x 173

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 4723175817360/(3x54)

LCM = 4723175817360/162

LCM = 29155406280

Thus, we can understand that the LCM of 366,345,429,168,519 is 29155406280.

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

• LCM of 196, 843, 732, 943, 551
• LCM of 350, 113, 165, 178, 393
• LCM of 942, 998, 500, 885, 778
• LCM of 743, 791, 353, 646, 133
• LCM of 471, 385, 361, 940, 508

1. What is the LCM of 366, 345, 429, 168, 519?

Answer: LCM of 366, 345, 429, 168, 519 is 29155406280.

2. How to calculate the LCM of 366, 345, 429, 168, 519?

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 366, 345, 429, 168, 519.

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}.