Given numbers are 45,267,215

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

The LCM of 45,267,215 is 172215.

Find LCM of 45,267,215 with Prime Factorization

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

3 x 5 x 3 x 89 x 43 = 172215

Therefore, the lowest common multiple of 45,267,215 is 172215.

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.

45 x 267 x 215 = 2583225

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.

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

267 : 1, 3, 89, 267

215 : 1, 5, 43, 215

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 45,267,215, is 1.

Now, the common factors can be found like this.

45:3x 3x 5

267:3x 89

215:5x 43

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 2583225/(1x15)

LCM = 2583225/15

LCM = 172215

Thus, we can understand that the LCM of 45,267,215 is 172215.

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

• LCM of 65, 605, 885
• LCM of 32, 886, 223
• LCM of 14, 955, 386
• LCM of 12, 598, 261
• LCM of 38, 397, 901

1. What is the LCM of 45, 267, 215?

Answer: LCM of 45, 267, 215 is 172215.

2. How to calculate the LCM of 45, 267, 215?

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 45, 267, 215.

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}.