LCM of 7824, 4208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 7824, 4208 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 7824, 4208. So, keep reading to learn more.
Given numbers are 7824,4208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 7824,4208 is 2057712.
Find LCM of 7824,4208 with Prime Factorization
| 2 | 7824, 4208 |
| 2 | 3912, 2104 |
| 2 | 1956, 1052 |
| 2 | 978, 526 |
| 489, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 489 x 263 = 2057712
Therefore, the lowest common multiple of 7824,4208 is 2057712.
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.
7824 x 4208 = 32923392
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.
7824 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 163, 326, 489, 652, 978, 1304, 1956, 2608, 3912, 7824
4208 : 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208
16 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7824,4208, is 16.
Now, the common factors can be found like this.
7824:2x 2x 2x 2x 3x 163
4208:2x 2x 2x 2x 263
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 = 32923392/(16x1)
LCM = 32923392/16
LCM = 2057712
Thus, we can understand that the LCM of 7824,4208 is 2057712.
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FAQs on LCM of 7824, 4208
1. What is the LCM of 7824, 4208?
Answer: LCM of 7824, 4208 is 2057712.
2. How to calculate the LCM of 7824, 4208?
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 7824, 4208.
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}.