LCM of 198, 886, 405, 255, 935
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 886, 405, 255, 935 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 198, 886, 405, 255, 935. So, keep reading to learn more.
Given numbers are 198,886,405,255,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,886,405,255,935 is 67101210.
Find LCM of 198,886,405,255,935 with Prime Factorization
| 2 | 198, 886, 405, 255, 935 |
| 3 | 99, 443, 405, 255, 935 |
| 3 | 33, 443, 135, 85, 935 |
| 5 | 11, 443, 45, 85, 935 |
| 11 | 11, 443, 9, 17, 187 |
| 17 | 1, 443, 9, 17, 17 |
| 1, 443, 9, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 17 x 1 x 443 x 9 x 1 x 1 = 67101210
Therefore, the lowest common multiple of 198,886,405,255,935 is 67101210.
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.
198 x 886 x 405 x 255 x 935 = 16939700464500
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
886 : 1, 2, 443, 886
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
255 : 1, 3, 5, 15, 17, 51, 85, 255
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,886,405,255,935, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
886:2x 443
405:3x 3x 3x 3x 5
255:3x 5x 17
935:5x 11x 17
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 5x 5x 11x 17 = 252450
Therefore, the value for common factors is 252450.
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 = 16939700464500/(1x252450)
LCM = 16939700464500/252450
LCM = 67101210
Thus, we can understand that the LCM of 198,886,405,255,935 is 67101210.
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FAQs on LCM of 198, 886, 405, 255, 935
1. What is the LCM of 198, 886, 405, 255, 935?
Answer: LCM of 198, 886, 405, 255, 935 is 67101210.
2. How to calculate the LCM of 198, 886, 405, 255, 935?
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 198, 886, 405, 255, 935.
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}.