LCM of 9455, 8385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9455, 8385 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 9455, 8385. So, keep reading to learn more.
Given numbers are 9455,8385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9455,8385 is 15856035.
Find LCM of 9455,8385 with Prime Factorization
| 5 | 9455, 8385 |
| 1891, 1677 |
Multiply the prime numbers at the bottom and the left side.
5 x 1891 x 1677 = 15856035
Therefore, the lowest common multiple of 9455,8385 is 15856035.
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.
9455 x 8385 = 79280175
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.
9455 : 1, 5, 31, 61, 155, 305, 1891, 9455
8385 : 1, 3, 5, 13, 15, 39, 43, 65, 129, 195, 215, 559, 645, 1677, 2795, 8385
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9455,8385, is 5.
Now, the common factors can be found like this.
9455:5x 31x 61
8385:3x 5x 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.
= 1
Therefore, the value for common factors is 1.
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 = 79280175/(5x1)
LCM = 79280175/5
LCM = 15856035
Thus, we can understand that the LCM of 9455,8385 is 15856035.
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FAQs on LCM of 9455, 8385
1. What is the LCM of 9455, 8385?
Answer: LCM of 9455, 8385 is 15856035.
2. How to calculate the LCM of 9455, 8385?
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 9455, 8385.
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}.