LCM of 8352, 3186
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8352, 3186 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 8352, 3186. So, keep reading to learn more.
Given numbers are 8352,3186
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8352,3186 is 1478304.
Find LCM of 8352,3186 with Prime Factorization
| 2 | 8352, 3186 |
| 3 | 4176, 1593 |
| 3 | 1392, 531 |
| 464, 177 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 464 x 177 = 1478304
Therefore, the lowest common multiple of 8352,3186 is 1478304.
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.
8352 x 3186 = 26609472
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.
8352 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352
3186 : 1, 2, 3, 6, 9, 18, 27, 54, 59, 118, 177, 354, 531, 1062, 1593, 3186
18 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8352,3186, is 18.
Now, the common factors can be found like this.
8352:2x 2x 2x 2x 2x 3x 3x 29
3186:2x 3x 3x 3x 59
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 = 26609472/(18x1)
LCM = 26609472/18
LCM = 1478304
Thus, we can understand that the LCM of 8352,3186 is 1478304.
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FAQs on LCM of 8352, 3186
1. What is the LCM of 8352, 3186?
Answer: LCM of 8352, 3186 is 1478304.
2. How to calculate the LCM of 8352, 3186?
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 8352, 3186.
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}.