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LCM of 485, 517, 633, 275, 330

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 485, 517, 633, 275, 330 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 485, 517, 633, 275, 330. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 485,517,633,275,330

Given numbers are 485,517,633,275,330

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

The LCM of 485,517,633,275,330 is 1587215850.

Find LCM of 485,517,633,275,330 with Prime Factorization


3 485, 517, 633, 275, 330
5 485, 517, 211, 275, 110
11 97, 517, 211, 55, 22
97, 47, 211, 5, 2

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

3 x 5 x 11 x 97 x 47 x 211 x 5 x 2 = 1587215850

Therefore, the lowest common multiple of 485,517,633,275,330 is 1587215850.

LCM Formula to Find Lowest Common Multiple of 485,517,633,275,330

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.

485 x 517 x 633 x 275 x 330 = 14403983838750

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.

485 : 1, 5, 97, 485

517 : 1, 11, 47, 517

633 : 1, 3, 211, 633

275 : 1, 5, 11, 25, 55, 275

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,517,633,275,330, is 1.

Now, the common factors can be found like this.

485:5x 97

517:11x 47

633:3x 211

275:5x 5x 11

330:2x 3x 5x 11

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

3x 5x 5x 11x 11 = 9075

Therefore, the value for common factors is 9075.

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 = 14403983838750/(1x9075)

LCM = 14403983838750/9075

LCM = 1587215850

Thus, we can understand that the LCM of 485,517,633,275,330 is 1587215850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 485, 517, 633, 275, 330

1. What is the LCM of 485, 517, 633, 275, 330?

Answer: LCM of 485, 517, 633, 275, 330 is 1587215850.

2. How to calculate the LCM of 485, 517, 633, 275, 330?

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 485, 517, 633, 275, 330.

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}.