LCM of 517, 975, 768, 705, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 975, 768, 705, 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 517, 975, 768, 705, 990. So, keep reading to learn more.
Given numbers are 517,975,768,705,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,975,768,705,990 is 387129600.
Find LCM of 517,975,768,705,990 with Prime Factorization
| 2 | 517, 975, 768, 705, 990 |
| 3 | 517, 975, 384, 705, 495 |
| 5 | 517, 325, 128, 235, 165 |
| 11 | 517, 65, 128, 47, 33 |
| 47 | 47, 65, 128, 47, 3 |
| 1, 65, 128, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 47 x 1 x 65 x 128 x 1 x 3 = 387129600
Therefore, the lowest common multiple of 517,975,768,705,990 is 387129600.
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.
517 x 975 x 768 x 705 x 990 = 270197104320000
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.
517 : 1, 11, 47, 517
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
705 : 1, 3, 5, 15, 47, 141, 235, 705
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 517,975,768,705,990, is 1.
Now, the common factors can be found like this.
517:11x 47
975:3x 5x 5x 13
768:2x 2x 2x 2x 2x 2x 2x 2x 3
705:3x 5x 47
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 3x 3x 3x 5x 5x 11x 47 = 697950
Therefore, the value for common factors is 697950.
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 = 270197104320000/(1x697950)
LCM = 270197104320000/697950
LCM = 387129600
Thus, we can understand that the LCM of 517,975,768,705,990 is 387129600.
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FAQs on LCM of 517, 975, 768, 705, 990
1. What is the LCM of 517, 975, 768, 705, 990?
Answer: LCM of 517, 975, 768, 705, 990 is 387129600.
2. How to calculate the LCM of 517, 975, 768, 705, 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 517, 975, 768, 705, 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}.