LCM of 891, 990, 898, 669, 123
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 891, 990, 898, 669, 123 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 891, 990, 898, 669, 123. So, keep reading to learn more.
Given numbers are 891,990,898,669,123
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,990,898,669,123 is 36577394370.
Find LCM of 891,990,898,669,123 with Prime Factorization
| 2 | 891, 990, 898, 669, 123 |
| 3 | 891, 495, 449, 669, 123 |
| 3 | 297, 165, 449, 223, 41 |
| 11 | 99, 55, 449, 223, 41 |
| 9, 5, 449, 223, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 9 x 5 x 449 x 223 x 41 = 36577394370
Therefore, the lowest common multiple of 891,990,898,669,123 is 36577394370.
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.
891 x 990 x 898 x 669 x 123 = 65180916767340
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
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
898 : 1, 2, 449, 898
669 : 1, 3, 223, 669
123 : 1, 3, 41, 123
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,990,898,669,123, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
990:2x 3x 3x 5x 11
898:2x 449
669:3x 223
123:3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 11 = 1782
Therefore, the value for common factors is 1782.
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 = 65180916767340/(1x1782)
LCM = 65180916767340/1782
LCM = 36577394370
Thus, we can understand that the LCM of 891,990,898,669,123 is 36577394370.
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FAQs on LCM of 891, 990, 898, 669, 123
1. What is the LCM of 891, 990, 898, 669, 123?
Answer: LCM of 891, 990, 898, 669, 123 is 36577394370.
2. How to calculate the LCM of 891, 990, 898, 669, 123?
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 891, 990, 898, 669, 123.
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}.