Given numbers are 380,605,300,235,187

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

The LCM of 380,605,300,235,187 is 551070300.

Find LCM of 380,605,300,235,187 with Prime Factorization

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

2 x 2 x 5 x 11 x 19 x 11 x 15 x 47 x 17 = 551070300

Therefore, the lowest common multiple of 380,605,300,235,187 is 551070300.

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.

380 x 605 x 300 x 235 x 187 = 3030886650000

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

605 : 1, 5, 11, 55, 121, 605

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

235 : 1, 5, 47, 235

187 : 1, 11, 17, 187

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,605,300,235,187, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

605:5x 11x 11

300:2x 2x 3x 5x 5

235:5x 47

187:11x 17

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 5x 5x 5x 11 = 5500

Therefore, the value for common factors is 5500.

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 = 3030886650000/(1x5500)

LCM = 3030886650000/5500

LCM = 551070300

Thus, we can understand that the LCM of 380,605,300,235,187 is 551070300.

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

• LCM of 274, 800, 101, 682, 496
• LCM of 728, 794, 167, 510, 320
• LCM of 110, 695, 882, 101, 657
• LCM of 456, 892, 532, 128, 905
• LCM of 951, 869, 508, 297, 336

1. What is the LCM of 380, 605, 300, 235, 187?

Answer: LCM of 380, 605, 300, 235, 187 is 551070300.

2. How to calculate the LCM of 380, 605, 300, 235, 187?

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 380, 605, 300, 235, 187.

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}.