Given numbers are 365,382,511,949

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

The LCM of 365,382,511,949 is 12688130.

Find LCM of 365,382,511,949 with Prime Factorization

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

73 x 5 x 382 x 7 x 13 = 12688130

Therefore, the lowest common multiple of 365,382,511,949 is 12688130.

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.

365 x 382 x 511 x 949 = 67615044770

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.

365 : 1, 5, 73, 365

382 : 1, 2, 191, 382

511 : 1, 7, 73, 511

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,382,511,949, is 1.

Now, the common factors can be found like this.

365:5x 73

382:2x 191

511:7x 73

949:13x 73

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

73x 73 = 5329

Therefore, the value for common factors is 5329.

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 = 67615044770/(1x5329)

LCM = 67615044770/5329

LCM = 12688130

Thus, we can understand that the LCM of 365,382,511,949 is 12688130.

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

• LCM of 390, 784, 662, 592
• LCM of 236, 663, 313, 551
• LCM of 606, 876, 967, 792
• LCM of 470, 567, 858, 372
• LCM of 577, 755, 961, 631

1. What is the LCM of 365, 382, 511, 949?

Answer: LCM of 365, 382, 511, 949 is 12688130.

2. How to calculate the LCM of 365, 382, 511, 949?

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 365, 382, 511, 949.

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}.