LCM of 9688, 4788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9688, 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 9688, 4788. So, keep reading to learn more.
Given numbers are 9688,4788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9688,4788 is 1656648.
Find LCM of 9688,4788 with Prime Factorization
| 2 | 9688, 4788 |
| 2 | 4844, 2394 |
| 7 | 2422, 1197 |
| 346, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 346 x 171 = 1656648
Therefore, the lowest common multiple of 9688,4788 is 1656648.
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.
9688 x 4788 = 46386144
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.
9688 : 1, 2, 4, 7, 8, 14, 28, 56, 173, 346, 692, 1211, 1384, 2422, 4844, 9688
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
28 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9688,4788, is 28.
Now, the common factors can be found like this.
9688:2x 2x 2x 7x 173
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 = 46386144/(28x1)
LCM = 46386144/28
LCM = 1656648
Thus, we can understand that the LCM of 9688,4788 is 1656648.
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FAQs on LCM of 9688, 4788
1. What is the LCM of 9688, 4788?
Answer: LCM of 9688, 4788 is 1656648.
2. How to calculate the LCM of 9688, 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 9688, 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}.