Given numbers are 333,45,305

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

The LCM of 333,45,305 is 101565.

Find LCM of 333,45,305 with Prime Factorization

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

3 x 3 x 5 x 37 x 1 x 61 = 101565

Therefore, the lowest common multiple of 333,45,305 is 101565.

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.

333 x 45 x 305 = 4570425

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.

333 : 1, 3, 9, 37, 111, 333

45 : 1, 3, 5, 9, 15, 45

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 333,45,305, is 1.

Now, the common factors can be found like this.

333:3x 3x 37

45:3x 3x 5

305:5x 61

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 5 = 45

Therefore, the value for common factors is 45.

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 = 4570425/(1x45)

LCM = 4570425/45

LCM = 101565

Thus, we can understand that the LCM of 333,45,305 is 101565.

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

• LCM of 264, 59, 742
• LCM of 756, 98, 405
• LCM of 847, 54, 545
• LCM of 270, 44, 713
• LCM of 864, 12, 385

1. What is the LCM of 333, 45, 305?

Answer: LCM of 333, 45, 305 is 101565.

2. How to calculate the LCM of 333, 45, 305?

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 333, 45, 305.

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}.