LCM of 591, 340, 905, 960, 515
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 340, 905, 960, 515 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 591, 340, 905, 960, 515. So, keep reading to learn more.
Given numbers are 591,340,905,960,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,340,905,960,515 is 59937990720.
Find LCM of 591,340,905,960,515 with Prime Factorization
| 2 | 591, 340, 905, 960, 515 |
| 2 | 591, 170, 905, 480, 515 |
| 3 | 591, 85, 905, 240, 515 |
| 5 | 197, 85, 905, 80, 515 |
| 197, 17, 181, 16, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 197 x 17 x 181 x 16 x 103 = 59937990720
Therefore, the lowest common multiple of 591,340,905,960,515 is 59937990720.
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.
591 x 340 x 905 x 960 x 515 = 89906986080000
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.
591 : 1, 3, 197, 591
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
905 : 1, 5, 181, 905
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
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,340,905,960,515, is 1.
Now, the common factors can be found like this.
591:3x 197
340:2x 2x 5x 17
905:5x 181
960:2x 2x 2x 2x 2x 2x 3x 5
515:5x 103
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 5x 5x 5 = 1500
Therefore, the value for common factors is 1500.
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 = 89906986080000/(1x1500)
LCM = 89906986080000/1500
LCM = 59937990720
Thus, we can understand that the LCM of 591,340,905,960,515 is 59937990720.
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FAQs on LCM of 591, 340, 905, 960, 515
1. What is the LCM of 591, 340, 905, 960, 515?
Answer: LCM of 591, 340, 905, 960, 515 is 59937990720.
2. How to calculate the LCM of 591, 340, 905, 960, 515?
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 591, 340, 905, 960, 515.
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}.