Given numbers are 305,791,207,387,438

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

The LCM of 305,791,207,387,438 is 313521970230.

Find LCM of 305,791,207,387,438 with Prime Factorization

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

3 x 3 x 305 x 791 x 23 x 43 x 146 = 313521970230

Therefore, the lowest common multiple of 305,791,207,387,438 is 313521970230.

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.

305 x 791 x 207 x 387 x 438 = 8465093196210

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.

305 : 1, 5, 61, 305

791 : 1, 7, 113, 791

207 : 1, 3, 9, 23, 69, 207

387 : 1, 3, 9, 43, 129, 387

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,791,207,387,438, is 1.

Now, the common factors can be found like this.

305:5x 61

791:7x 113

207:3x 3x 23

387:3x 3x 43

438:2x 3x 73

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 3 = 27

Therefore, the value for common factors is 27.

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 = 8465093196210/(1x27)

LCM = 8465093196210/27

LCM = 313521970230

Thus, we can understand that the LCM of 305,791,207,387,438 is 313521970230.

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

• LCM of 726, 994, 529, 407, 643
• LCM of 460, 123, 643, 800, 923
• LCM of 153, 592, 461, 143, 214
• LCM of 840, 521, 919, 987, 449
• LCM of 330, 683, 396, 466, 522

1. What is the LCM of 305, 791, 207, 387, 438?

Answer: LCM of 305, 791, 207, 387, 438 is 313521970230.

2. How to calculate the LCM of 305, 791, 207, 387, 438?

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 305, 791, 207, 387, 438.

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}.