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LCM of 217, 849, 849, 162

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


Find the LCM of 217, 849, 849, 162 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 217, 849, 849, 162. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 217,849,849,162

Given numbers are 217,849,849,162

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

The LCM of 217,849,849,162 is 9948582.

Find LCM of 217,849,849,162 with Prime Factorization


3 217, 849, 849, 162
283 217, 283, 283, 54
217, 1, 1, 54

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

3 x 283 x 217 x 1 x 1 x 54 = 9948582

Therefore, the lowest common multiple of 217,849,849,162 is 9948582.

LCM Formula to Find Lowest Common Multiple of 217,849,849,162

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.

217 x 849 x 849 x 162 = 25339038354

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.

217 : 1, 7, 31, 217

849 : 1, 3, 283, 849

849 : 1, 3, 283, 849

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,849,849,162, is 1.

Now, the common factors can be found like this.

217:7x 31

849:3x 283

849:3x 283

162:2x 3x 3x 3x 3

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

3x 3x 283 = 2547

Therefore, the value for common factors is 2547.

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 = 25339038354/(1x2547)

LCM = 25339038354/2547

LCM = 9948582

Thus, we can understand that the LCM of 217,849,849,162 is 9948582.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 217, 849, 849, 162

1. What is the LCM of 217, 849, 849, 162?

Answer: LCM of 217, 849, 849, 162 is 9948582.

2. How to calculate the LCM of 217, 849, 849, 162?

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 217, 849, 849, 162.

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}.