Given numbers are 575,46,205

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

The LCM of 575,46,205 is 47150.

Find LCM of 575,46,205 with Prime Factorization

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

5 x 23 x 5 x 2 x 41 = 47150

Therefore, the lowest common multiple of 575,46,205 is 47150.

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.

575 x 46 x 205 = 5422250

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.

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

46 : 1, 2, 23, 46

205 : 1, 5, 41, 205

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,46,205, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

46:2x 23

205:5x 41

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

5x 23 = 115

Therefore, the value for common factors is 115.

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 = 5422250/(1x115)

LCM = 5422250/115

LCM = 47150

Thus, we can understand that the LCM of 575,46,205 is 47150.

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

• LCM of 748, 15, 228
• LCM of 440, 25, 154
• LCM of 659, 32, 769
• LCM of 543, 17, 546
• LCM of 561, 66, 102

1. What is the LCM of 575, 46, 205?

Answer: LCM of 575, 46, 205 is 47150.

2. How to calculate the LCM of 575, 46, 205?

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 575, 46, 205.

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}.