Given numbers are 225,305,455,190

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

The LCM of 225,305,455,190 is 47461050.

Find LCM of 225,305,455,190 with Prime Factorization

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

5 x 45 x 61 x 91 x 38 = 47461050

Therefore, the lowest common multiple of 225,305,455,190 is 47461050.

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.

225 x 305 x 455 x 190 = 5932631250

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.

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

305 : 1, 5, 61, 305

455 : 1, 5, 7, 13, 35, 65, 91, 455

190 : 1, 2, 5, 10, 19, 38, 95, 190

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,305,455,190, is 5.

Now, the common factors can be found like this.

225:3x 3x 5x 5

305:5x 61

455:5x 7x 13

190:2x 5x 19

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 5932631250/(5x25)

LCM = 5932631250/125

LCM = 47461050

Thus, we can understand that the LCM of 225,305,455,190 is 47461050.

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

• LCM of 424, 229, 858, 536
• LCM of 410, 411, 471, 972
• LCM of 151, 506, 521, 112
• LCM of 751, 828, 542, 555
• LCM of 285, 164, 332, 863

1. What is the LCM of 225, 305, 455, 190?

Answer: LCM of 225, 305, 455, 190 is 47461050.

2. How to calculate the LCM of 225, 305, 455, 190?

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 225, 305, 455, 190.

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}.