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LCM of 423, 485, 485, 790, 487

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


Find the LCM of 423, 485, 485, 790, 487 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 423, 485, 485, 790, 487. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 423,485,485,790,487

Given numbers are 423,485,485,790,487

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

The LCM of 423,485,485,790,487 is 15785856630.

Find LCM of 423,485,485,790,487 with Prime Factorization


5 423, 485, 485, 790, 487
97 423, 97, 97, 158, 487
423, 1, 1, 158, 487

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

5 x 97 x 423 x 1 x 1 x 158 x 487 = 15785856630

Therefore, the lowest common multiple of 423,485,485,790,487 is 15785856630.

LCM Formula to Find Lowest Common Multiple of 423,485,485,790,487

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.

423 x 485 x 485 x 790 x 487 = 38280702327750

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.

423 : 1, 3, 9, 47, 141, 423

485 : 1, 5, 97, 485

485 : 1, 5, 97, 485

790 : 1, 2, 5, 10, 79, 158, 395, 790

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,485,485,790,487, is 1.

Now, the common factors can be found like this.

423:3x 3x 47

485:5x 97

485:5x 97

790:2x 5x 79

487:487

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

5x 5x 97 = 2425

Therefore, the value for common factors is 2425.

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 = 38280702327750/(1x2425)

LCM = 38280702327750/2425

LCM = 15785856630

Thus, we can understand that the LCM of 423,485,485,790,487 is 15785856630.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 423, 485, 485, 790, 487

1. What is the LCM of 423, 485, 485, 790, 487?

Answer: LCM of 423, 485, 485, 790, 487 is 15785856630.

2. How to calculate the LCM of 423, 485, 485, 790, 487?

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 423, 485, 485, 790, 487.

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}.