Given numbers are 915,345,815,381,354

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

The LCM of 915,345,815,381,354 is 51407000310.

Find LCM of 915,345,815,381,354 with Prime Factorization

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

3 x 5 x 61 x 23 x 163 x 127 x 118 = 51407000310

Therefore, the lowest common multiple of 915,345,815,381,354 is 51407000310.

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.

915 x 345 x 815 x 381 x 354 = 34699725209250

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.

915 : 1, 3, 5, 15, 61, 183, 305, 915

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

815 : 1, 5, 163, 815

381 : 1, 3, 127, 381

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,345,815,381,354, is 1.

Now, the common factors can be found like this.

915:3x 5x 61

345:3x 5x 23

815:5x 163

381:3x 127

354:2x 3x 59

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

3x 3x 3x 5x 5 = 675

Therefore, the value for common factors is 675.

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 = 34699725209250/(1x675)

LCM = 34699725209250/675

LCM = 51407000310

Thus, we can understand that the LCM of 915,345,815,381,354 is 51407000310.

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

• LCM of 816, 721, 697, 782, 238
• LCM of 108, 495, 703, 416, 670
• LCM of 611, 518, 762, 664, 156
• LCM of 276, 373, 699, 424, 401
• LCM of 215, 114, 534, 647, 404

1. What is the LCM of 915, 345, 815, 381, 354?

Answer: LCM of 915, 345, 815, 381, 354 is 51407000310.

2. How to calculate the LCM of 915, 345, 815, 381, 354?

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 915, 345, 815, 381, 354.

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}.