LCM of 8005, 3120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8005, 3120 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 8005, 3120. So, keep reading to learn more.
Given numbers are 8005,3120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8005,3120 is 4995120.
Find LCM of 8005,3120 with Prime Factorization
| 5 | 8005, 3120 |
| 1601, 624 |
Multiply the prime numbers at the bottom and the left side.
5 x 1601 x 624 = 4995120
Therefore, the lowest common multiple of 8005,3120 is 4995120.
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.
8005 x 3120 = 24975600
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.
8005 : 1, 5, 1601, 8005
3120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560, 3120
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8005,3120, is 5.
Now, the common factors can be found like this.
8005:5x 1601
3120:2x 2x 2x 2x 3x 5x 13
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 = 24975600/(5x1)
LCM = 24975600/5
LCM = 4995120
Thus, we can understand that the LCM of 8005,3120 is 4995120.
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FAQs on LCM of 8005, 3120
1. What is the LCM of 8005, 3120?
Answer: LCM of 8005, 3120 is 4995120.
2. How to calculate the LCM of 8005, 3120?
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 8005, 3120.
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}.