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LCM of 927, 180, 465, 217

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


Find the LCM of 927, 180, 465, 217 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 927, 180, 465, 217. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 927,180,465,217

Given numbers are 927,180,465,217

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

The LCM of 927,180,465,217 is 4023180.

Find LCM of 927,180,465,217 with Prime Factorization


3 927, 180, 465, 217
3 309, 60, 155, 217
5 103, 20, 155, 217
31 103, 4, 31, 217
103, 4, 1, 7

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

3 x 3 x 5 x 31 x 103 x 4 x 1 x 7 = 4023180

Therefore, the lowest common multiple of 927,180,465,217 is 4023180.

LCM Formula to Find Lowest Common Multiple of 927,180,465,217

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.

927 x 180 x 465 x 217 = 16837008300

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.

927 : 1, 3, 9, 103, 309, 927

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

465 : 1, 3, 5, 15, 31, 93, 155, 465

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,180,465,217, is 1.

Now, the common factors can be found like this.

927:3x 3x 103

180:2x 2x 3x 3x 5

465:3x 5x 31

217:7x 31

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 3x 5x 31 = 4185

Therefore, the value for common factors is 4185.

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 = 16837008300/(1x4185)

LCM = 16837008300/4185

LCM = 4023180

Thus, we can understand that the LCM of 927,180,465,217 is 4023180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 927, 180, 465, 217

1. What is the LCM of 927, 180, 465, 217?

Answer: LCM of 927, 180, 465, 217 is 4023180.

2. How to calculate the LCM of 927, 180, 465, 217?

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 927, 180, 465, 217.

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}.