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LCM of 487, 169, 257, 585

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


Find the LCM of 487, 169, 257, 585 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 487, 169, 257, 585. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 487,169,257,585

Given numbers are 487,169,257,585

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

The LCM of 487,169,257,585 is 951834195.

Find LCM of 487,169,257,585 with Prime Factorization


13 487, 169, 257, 585
487, 13, 257, 45

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

13 x 487 x 13 x 257 x 45 = 951834195

Therefore, the lowest common multiple of 487,169,257,585 is 951834195.

LCM Formula to Find Lowest Common Multiple of 487,169,257,585

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.

487 x 169 x 257 x 585 = 12373844535

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.

487 : 1, 487

169 : 1, 13, 169

257 : 1, 257

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,169,257,585, is 1.

Now, the common factors can be found like this.

487:487

169:13x 13

257:257

585:3x 3x 5x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 12373844535/(1x13)

LCM = 12373844535/13

LCM = 951834195

Thus, we can understand that the LCM of 487,169,257,585 is 951834195.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 487, 169, 257, 585

1. What is the LCM of 487, 169, 257, 585?

Answer: LCM of 487, 169, 257, 585 is 951834195.

2. How to calculate the LCM of 487, 169, 257, 585?

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 487, 169, 257, 585.

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}.