Given numbers are 305,575,538

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

The LCM of 305,575,538 is 18870350.

Find LCM of 305,575,538 with Prime Factorization

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

5 x 61 x 115 x 538 = 18870350

Therefore, the lowest common multiple of 305,575,538 is 18870350.

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 575 x 538 = 94351750

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

575 : 1, 5, 23, 25, 115, 575

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,575,538, is 1.

Now, the common factors can be found like this.

305:5x 61

575:5x 5x 23

538:2x 269

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

5 = 5

Therefore, the value for common factors is 5.

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 = 94351750/(1x5)

LCM = 94351750/5

LCM = 18870350

Thus, we can understand that the LCM of 305,575,538 is 18870350.

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

• LCM of 400, 127, 363
• LCM of 689, 828, 153
• LCM of 115, 620, 227
• LCM of 260, 986, 524
• LCM of 798, 963, 995

1. What is the LCM of 305, 575, 538?

Answer: LCM of 305, 575, 538 is 18870350.

2. How to calculate the LCM of 305, 575, 538?

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, 575, 538.

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}.