LCM of 987, 960, 410, 390, 205
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 960, 410, 390, 205 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 987, 960, 410, 390, 205. So, keep reading to learn more.
Given numbers are 987,960,410,390,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,960,410,390,205 is 168342720.
Find LCM of 987,960,410,390,205 with Prime Factorization
| 2 | 987, 960, 410, 390, 205 |
| 3 | 987, 480, 205, 195, 205 |
| 5 | 329, 160, 205, 65, 205 |
| 41 | 329, 32, 41, 13, 41 |
| 329, 32, 1, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 41 x 329 x 32 x 1 x 13 x 1 = 168342720
Therefore, the lowest common multiple of 987,960,410,390,205 is 168342720.
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.
987 x 960 x 410 x 390 x 205 = 31059231840000
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
410 : 1, 2, 5, 10, 41, 82, 205, 410
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,960,410,390,205, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
960:2x 2x 2x 2x 2x 2x 3x 5
410:2x 5x 41
390:2x 3x 5x 13
205:5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 5x 5x 5x 41 = 184500
Therefore, the value for common factors is 184500.
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 = 31059231840000/(1x184500)
LCM = 31059231840000/184500
LCM = 168342720
Thus, we can understand that the LCM of 987,960,410,390,205 is 168342720.
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FAQs on LCM of 987, 960, 410, 390, 205
1. What is the LCM of 987, 960, 410, 390, 205?
Answer: LCM of 987, 960, 410, 390, 205 is 168342720.
2. How to calculate the LCM of 987, 960, 410, 390, 205?
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 987, 960, 410, 390, 205.
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}.