Given numbers are 305,284,213,926

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

The LCM of 305,284,213,926 is 120315180.

Find LCM of 305,284,213,926 with Prime Factorization

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

2 x 71 x 305 x 2 x 3 x 463 = 120315180

Therefore, the lowest common multiple of 305,284,213,926 is 120315180.

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 284 x 213 x 926 = 17084755560

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

284 : 1, 2, 4, 71, 142, 284

213 : 1, 3, 71, 213

926 : 1, 2, 463, 926

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,284,213,926, is 1.

Now, the common factors can be found like this.

305:5x 61

284:2x 2x 71

213:3x 71

926:2x 463

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 17084755560/(1x142)

LCM = 17084755560/142

LCM = 120315180

Thus, we can understand that the LCM of 305,284,213,926 is 120315180.

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

• LCM of 481, 545, 377, 769
• LCM of 527, 132, 242, 747
• LCM of 461, 288, 791, 101
• LCM of 284, 204, 929, 965
• LCM of 261, 836, 905, 835

1. What is the LCM of 305, 284, 213, 926?

Answer: LCM of 305, 284, 213, 926 is 120315180.

2. How to calculate the LCM of 305, 284, 213, 926?

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, 284, 213, 926.

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}.