LCM of 8197, 4788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8197, 4788 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 8197, 4788. So, keep reading to learn more.
Given numbers are 8197,4788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8197,4788 is 5606748.
Find LCM of 8197,4788 with Prime Factorization
| 7 | 8197, 4788 |
| 1171, 684 |
Multiply the prime numbers at the bottom and the left side.
7 x 1171 x 684 = 5606748
Therefore, the lowest common multiple of 8197,4788 is 5606748.
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.
8197 x 4788 = 39247236
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.
8197 : 1, 7, 1171, 8197
4788 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394, 4788
7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8197,4788, is 7.
Now, the common factors can be found like this.
8197:7x 1171
4788:2x 2x 3x 3x 7x 19
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 = 39247236/(7x1)
LCM = 39247236/7
LCM = 5606748
Thus, we can understand that the LCM of 8197,4788 is 5606748.
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FAQs on LCM of 8197, 4788
1. What is the LCM of 8197, 4788?
Answer: LCM of 8197, 4788 is 5606748.
2. How to calculate the LCM of 8197, 4788?
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 8197, 4788.
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}.