LCM of 519, 966, 395, 345, 621
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 966, 395, 345, 621 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 519, 966, 395, 345, 621. So, keep reading to learn more.
Given numbers are 519,966,395,345,621
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,966,395,345,621 is 594104490.
Find LCM of 519,966,395,345,621 with Prime Factorization
| 3 | 519, 966, 395, 345, 621 |
| 5 | 173, 322, 395, 115, 207 |
| 23 | 173, 322, 79, 23, 207 |
| 173, 14, 79, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 23 x 173 x 14 x 79 x 1 x 9 = 594104490
Therefore, the lowest common multiple of 519,966,395,345,621 is 594104490.
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.
519 x 966 x 395 x 345 x 621 = 42427972153350
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.
519 : 1, 3, 173, 519
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
395 : 1, 5, 79, 395
345 : 1, 3, 5, 15, 23, 69, 115, 345
621 : 1, 3, 9, 23, 27, 69, 207, 621
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,966,395,345,621, is 1.
Now, the common factors can be found like this.
519:3x 173
966:2x 3x 7x 23
395:5x 79
345:3x 5x 23
621:3x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 23x 23 = 71415
Therefore, the value for common factors is 71415.
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 = 42427972153350/(1x71415)
LCM = 42427972153350/71415
LCM = 594104490
Thus, we can understand that the LCM of 519,966,395,345,621 is 594104490.
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FAQs on LCM of 519, 966, 395, 345, 621
1. What is the LCM of 519, 966, 395, 345, 621?
Answer: LCM of 519, 966, 395, 345, 621 is 594104490.
2. How to calculate the LCM of 519, 966, 395, 345, 621?
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 519, 966, 395, 345, 621.
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}.