LCM of 809, 284, 363, 924, 121
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 284, 363, 924, 121 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 809, 284, 363, 924, 121. So, keep reading to learn more.
Given numbers are 809,284,363,924,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,284,363,924,121 is 583809996.
Find LCM of 809,284,363,924,121 with Prime Factorization
| 2 | 809, 284, 363, 924, 121 |
| 2 | 809, 142, 363, 462, 121 |
| 3 | 809, 71, 363, 231, 121 |
| 11 | 809, 71, 121, 77, 121 |
| 11 | 809, 71, 11, 7, 11 |
| 809, 71, 1, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 11 x 809 x 71 x 1 x 7 x 1 = 583809996
Therefore, the lowest common multiple of 809,284,363,924,121 is 583809996.
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.
809 x 284 x 363 x 924 x 121 = 9324613256112
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.
809 : 1, 809
284 : 1, 2, 4, 71, 142, 284
363 : 1, 3, 11, 33, 121, 363
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,284,363,924,121, is 1.
Now, the common factors can be found like this.
809:809
284:2x 2x 71
363:3x 11x 11
924:2x 2x 3x 7x 11
121:11x 11
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 3x 11x 11x 11 = 15972
Therefore, the value for common factors is 15972.
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 = 9324613256112/(1x15972)
LCM = 9324613256112/15972
LCM = 583809996
Thus, we can understand that the LCM of 809,284,363,924,121 is 583809996.
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FAQs on LCM of 809, 284, 363, 924, 121
1. What is the LCM of 809, 284, 363, 924, 121?
Answer: LCM of 809, 284, 363, 924, 121 is 583809996.
2. How to calculate the LCM of 809, 284, 363, 924, 121?
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 809, 284, 363, 924, 121.
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}.