LCM of 213, 939, 995, 516, 520
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 213, 939, 995, 516, 520 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 213, 939, 995, 516, 520. So, keep reading to learn more.
Given numbers are 213,939,995,516,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,939,995,516,520 is 296653049160.
Find LCM of 213,939,995,516,520 with Prime Factorization
| 2 | 213, 939, 995, 516, 520 |
| 2 | 213, 939, 995, 258, 260 |
| 3 | 213, 939, 995, 129, 130 |
| 5 | 71, 313, 995, 43, 130 |
| 71, 313, 199, 43, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 71 x 313 x 199 x 43 x 26 = 296653049160
Therefore, the lowest common multiple of 213,939,995,516,520 is 296653049160.
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.
213 x 939 x 995 x 516 x 520 = 53397548848800
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.
213 : 1, 3, 71, 213
939 : 1, 3, 313, 939
995 : 1, 5, 199, 995
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,939,995,516,520, is 1.
Now, the common factors can be found like this.
213:3x 71
939:3x 313
995:5x 199
516:2x 2x 3x 43
520:2x 2x 2x 5x 13
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 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 53397548848800/(1x180)
LCM = 53397548848800/180
LCM = 296653049160
Thus, we can understand that the LCM of 213,939,995,516,520 is 296653049160.
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FAQs on LCM of 213, 939, 995, 516, 520
1. What is the LCM of 213, 939, 995, 516, 520?
Answer: LCM of 213, 939, 995, 516, 520 is 296653049160.
2. How to calculate the LCM of 213, 939, 995, 516, 520?
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 213, 939, 995, 516, 520.
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}.