LCM of 589, 965, 836, 275, 502
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 965, 836, 275, 502 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 589, 965, 836, 275, 502. So, keep reading to learn more.
Given numbers are 589,965,836,275,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,965,836,275,502 is 31386219700.
Find LCM of 589,965,836,275,502 with Prime Factorization
| 2 | 589, 965, 836, 275, 502 |
| 5 | 589, 965, 418, 275, 251 |
| 11 | 589, 193, 418, 55, 251 |
| 19 | 589, 193, 38, 5, 251 |
| 31, 193, 2, 5, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 19 x 31 x 193 x 2 x 5 x 251 = 31386219700
Therefore, the lowest common multiple of 589,965,836,275,502 is 31386219700.
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.
589 x 965 x 836 x 275 x 502 = 65597199173000
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.
589 : 1, 19, 31, 589
965 : 1, 5, 193, 965
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
275 : 1, 5, 11, 25, 55, 275
502 : 1, 2, 251, 502
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,965,836,275,502, is 1.
Now, the common factors can be found like this.
589:19x 31
965:5x 193
836:2x 2x 11x 19
275:5x 5x 11
502:2x 251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 19 = 2090
Therefore, the value for common factors is 2090.
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 = 65597199173000/(1x2090)
LCM = 65597199173000/2090
LCM = 31386219700
Thus, we can understand that the LCM of 589,965,836,275,502 is 31386219700.
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FAQs on LCM of 589, 965, 836, 275, 502
1. What is the LCM of 589, 965, 836, 275, 502?
Answer: LCM of 589, 965, 836, 275, 502 is 31386219700.
2. How to calculate the LCM of 589, 965, 836, 275, 502?
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 589, 965, 836, 275, 502.
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}.