LCM of 384, 680, 696, 687, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 384, 680, 696, 687, 990 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 384, 680, 696, 687, 990. So, keep reading to learn more.
Given numbers are 384,680,696,687,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 384,680,696,687,990 is 7153153920.
Find LCM of 384,680,696,687,990 with Prime Factorization
| 2 | 384, 680, 696, 687, 990 |
| 2 | 192, 340, 348, 687, 495 |
| 2 | 96, 170, 174, 687, 495 |
| 3 | 48, 85, 87, 687, 495 |
| 5 | 16, 85, 29, 229, 165 |
| 16, 17, 29, 229, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 16 x 17 x 29 x 229 x 33 = 7153153920
Therefore, the lowest common multiple of 384,680,696,687,990 is 7153153920.
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.
384 x 680 x 696 x 687 x 990 = 123606499737600
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.
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
687 : 1, 3, 229, 687
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,680,696,687,990, is 1.
Now, the common factors can be found like this.
384:2x 2x 2x 2x 2x 2x 2x 3
680:2x 2x 2x 5x 17
696:2x 2x 2x 3x 29
687:3x 229
990:2x 3x 3x 5x 11
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 2x 2x 2x 2x 2x 3x 3x 3x 5 = 17280
Therefore, the value for common factors is 17280.
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 = 123606499737600/(1x17280)
LCM = 123606499737600/17280
LCM = 7153153920
Thus, we can understand that the LCM of 384,680,696,687,990 is 7153153920.
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FAQs on LCM of 384, 680, 696, 687, 990
1. What is the LCM of 384, 680, 696, 687, 990?
Answer: LCM of 384, 680, 696, 687, 990 is 7153153920.
2. How to calculate the LCM of 384, 680, 696, 687, 990?
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 384, 680, 696, 687, 990.
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}.