LCM of 515, 245, 872, 999, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 245, 872, 999, 588 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, 245, 872, 999, 588. So, keep reading to learn more.
Given numbers are 515,245,872,999,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,245,872,999,588 is 21982915080.
Find LCM of 515,245,872,999,588 with Prime Factorization
| 2 | 515, 245, 872, 999, 588 |
| 2 | 515, 245, 436, 999, 294 |
| 3 | 515, 245, 218, 999, 147 |
| 5 | 515, 245, 218, 333, 49 |
| 7 | 103, 49, 218, 333, 49 |
| 7 | 103, 7, 218, 333, 7 |
| 103, 1, 218, 333, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 7 x 103 x 1 x 218 x 333 x 1 = 21982915080
Therefore, the lowest common multiple of 515,245,872,999,588 is 21982915080.
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 245 x 872 x 999 x 588 = 64629770335200
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
245 : 1, 5, 7, 35, 49, 245
872 : 1, 2, 4, 8, 109, 218, 436, 872
999 : 1, 3, 9, 27, 37, 111, 333, 999
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,245,872,999,588, is 1.
Now, the common factors can be found like this.
515:5x 103
245:5x 7x 7
872:2x 2x 2x 109
999:3x 3x 3x 37
588:2x 2x 3x 7x 7
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 7x 7 = 2940
Therefore, the value for common factors is 2940.
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 = 64629770335200/(1x2940)
LCM = 64629770335200/2940
LCM = 21982915080
Thus, we can understand that the LCM of 515,245,872,999,588 is 21982915080.
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FAQs on LCM of 515, 245, 872, 999, 588
1. What is the LCM of 515, 245, 872, 999, 588?
Answer: LCM of 515, 245, 872, 999, 588 is 21982915080.
2. How to calculate the LCM of 515, 245, 872, 999, 588?
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, 245, 872, 999, 588.
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}.