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LCM of 17, 64, 71, 284

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


Find the LCM of 17, 64, 71, 284 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 17, 64, 71, 284. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 17,64,71,284

Given numbers are 17,64,71,284

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

The LCM of 17,64,71,284 is 77248.

Find LCM of 17,64,71,284 with Prime Factorization


2 17, 64, 71, 284
2 17, 32, 71, 142
71 17, 16, 71, 71
17, 16, 1, 1

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

2 x 2 x 71 x 17 x 16 x 1 x 1 = 77248

Therefore, the lowest common multiple of 17,64,71,284 is 77248.

LCM Formula to Find Lowest Common Multiple of 17,64,71,284

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.

17 x 64 x 71 x 284 = 21938432

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.

17 : 1, 17

64 : 1, 2, 4, 8, 16, 32, 64

71 : 1, 71

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 17,64,71,284, is 1.

Now, the common factors can be found like this.

17:17

64:2x 2x 2x 2x 2x 2

71:71

284:2x 2x 71

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

2x 2x 71 = 284

Therefore, the value for common factors is 284.

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 = 21938432/(1x284)

LCM = 21938432/284

LCM = 77248

Thus, we can understand that the LCM of 17,64,71,284 is 77248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 17, 64, 71, 284

1. What is the LCM of 17, 64, 71, 284?

Answer: LCM of 17, 64, 71, 284 is 77248.

2. How to calculate the LCM of 17, 64, 71, 284?

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 17, 64, 71, 284.

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}.