LCM of 5382, 8265
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 5382, 8265 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 5382, 8265. So, keep reading to learn more.
Given numbers are 5382,8265
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5382,8265 is 14827410.
Find LCM of 5382,8265 with Prime Factorization
| 3 | 5382, 8265 |
| 1794, 2755 |
Multiply the prime numbers at the bottom and the left side.
3 x 1794 x 2755 = 14827410
Therefore, the lowest common multiple of 5382,8265 is 14827410.
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.
5382 x 8265 = 44482230
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.
5382 : 1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382
8265 : 1, 3, 5, 15, 19, 29, 57, 87, 95, 145, 285, 435, 551, 1653, 2755, 8265
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5382,8265, is 3.
Now, the common factors can be found like this.
5382:2x 3x 3x 13x 23
8265:3x 5x 19x 29
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 = 44482230/(3x1)
LCM = 44482230/3
LCM = 14827410
Thus, we can understand that the LCM of 5382,8265 is 14827410.
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FAQs on LCM of 5382, 8265
1. What is the LCM of 5382, 8265?
Answer: LCM of 5382, 8265 is 14827410.
2. How to calculate the LCM of 5382, 8265?
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 5382, 8265.
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}.