LCM of 515, 456, 978, 460, 878
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 456, 978, 460, 878 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 515, 456, 978, 460, 878. So, keep reading to learn more.
Given numbers are 515,456,978,460,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,456,978,460,878 is 386502255240.
Find LCM of 515,456,978,460,878 with Prime Factorization
| 2 | 515, 456, 978, 460, 878 |
| 2 | 515, 228, 489, 230, 439 |
| 3 | 515, 114, 489, 115, 439 |
| 5 | 515, 38, 163, 115, 439 |
| 103, 38, 163, 23, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 103 x 38 x 163 x 23 x 439 = 386502255240
Therefore, the lowest common multiple of 515,456,978,460,878 is 386502255240.
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.
515 x 456 x 978 x 460 x 878 = 92760541257600
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.
515 : 1, 5, 103, 515
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
978 : 1, 2, 3, 6, 163, 326, 489, 978
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
878 : 1, 2, 439, 878
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,456,978,460,878, is 1.
Now, the common factors can be found like this.
515:5x 103
456:2x 2x 2x 3x 19
978:2x 3x 163
460:2x 2x 5x 23
878:2x 439
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 92760541257600/(1x240)
LCM = 92760541257600/240
LCM = 386502255240
Thus, we can understand that the LCM of 515,456,978,460,878 is 386502255240.
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FAQs on LCM of 515, 456, 978, 460, 878
1. What is the LCM of 515, 456, 978, 460, 878?
Answer: LCM of 515, 456, 978, 460, 878 is 386502255240.
2. How to calculate the LCM of 515, 456, 978, 460, 878?
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 515, 456, 978, 460, 878.
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}.