LCM of 921, 221, 501, 816, 559
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 921, 221, 501, 816, 559 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 921, 221, 501, 816, 559. So, keep reading to learn more.
Given numbers are 921,221,501,816,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,221,501,816,559 is 23386046736.
Find LCM of 921,221,501,816,559 with Prime Factorization
| 3 | 921, 221, 501, 816, 559 |
| 13 | 307, 221, 167, 272, 559 |
| 17 | 307, 17, 167, 272, 43 |
| 307, 1, 167, 16, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 17 x 307 x 1 x 167 x 16 x 43 = 23386046736
Therefore, the lowest common multiple of 921,221,501,816,559 is 23386046736.
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.
921 x 221 x 501 x 816 x 559 = 46514846957904
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.
921 : 1, 3, 307, 921
221 : 1, 13, 17, 221
501 : 1, 3, 167, 501
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,221,501,816,559, is 1.
Now, the common factors can be found like this.
921:3x 307
221:13x 17
501:3x 167
816:2x 2x 2x 2x 3x 17
559:13x 43
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 13x 17 = 1989
Therefore, the value for common factors is 1989.
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 = 46514846957904/(1x1989)
LCM = 46514846957904/1989
LCM = 23386046736
Thus, we can understand that the LCM of 921,221,501,816,559 is 23386046736.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 921, 221, 501, 816, 559
1. What is the LCM of 921, 221, 501, 816, 559?
Answer: LCM of 921, 221, 501, 816, 559 is 23386046736.
2. How to calculate the LCM of 921, 221, 501, 816, 559?
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 921, 221, 501, 816, 559.
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}.