LCM of 899, 341, 122, 606, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 899, 341, 122, 606, 990 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 899, 341, 122, 606, 990. So, keep reading to learn more.
Given numbers are 899,341,122,606,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 899,341,122,606,990 is 5483351610.
Find LCM of 899,341,122,606,990 with Prime Factorization
| 2 | 899, 341, 122, 606, 990 |
| 3 | 899, 341, 61, 303, 495 |
| 11 | 899, 341, 61, 101, 165 |
| 31 | 899, 31, 61, 101, 15 |
| 29, 1, 61, 101, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 31 x 29 x 1 x 61 x 101 x 15 = 5483351610
Therefore, the lowest common multiple of 899,341,122,606,990 is 5483351610.
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.
899 x 341 x 122 x 606 x 990 = 22437874788120
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.
899 : 1, 29, 31, 899
341 : 1, 11, 31, 341
122 : 1, 2, 61, 122
606 : 1, 2, 3, 6, 101, 202, 303, 606
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,341,122,606,990, is 1.
Now, the common factors can be found like this.
899:29x 31
341:11x 31
122:2x 61
606:2x 3x 101
990:2x 3x 3x 5x 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 31 = 4092
Therefore, the value for common factors is 4092.
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 = 22437874788120/(1x4092)
LCM = 22437874788120/4092
LCM = 5483351610
Thus, we can understand that the LCM of 899,341,122,606,990 is 5483351610.
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FAQs on LCM of 899, 341, 122, 606, 990
1. What is the LCM of 899, 341, 122, 606, 990?
Answer: LCM of 899, 341, 122, 606, 990 is 5483351610.
2. How to calculate the LCM of 899, 341, 122, 606, 990?
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 899, 341, 122, 606, 990.
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}.