LCM of 251, 245, 988, 589, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 245, 988, 589, 819 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 251, 245, 988, 589, 819. So, keep reading to learn more.
Given numbers are 251,245,988,589,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,245,988,589,819 is 16951219740.
Find LCM of 251,245,988,589,819 with Prime Factorization
| 7 | 251, 245, 988, 589, 819 |
| 13 | 251, 35, 988, 589, 117 |
| 19 | 251, 35, 76, 589, 9 |
| 251, 35, 4, 31, 9 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 19 x 251 x 35 x 4 x 31 x 9 = 16951219740
Therefore, the lowest common multiple of 251,245,988,589,819 is 16951219740.
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.
251 x 245 x 988 x 589 x 819 = 29308658930460
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.
251 : 1, 251
245 : 1, 5, 7, 35, 49, 245
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
589 : 1, 19, 31, 589
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,245,988,589,819, is 1.
Now, the common factors can be found like this.
251:251
245:5x 7x 7
988:2x 2x 13x 19
589:19x 31
819:3x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 13x 19 = 1729
Therefore, the value for common factors is 1729.
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 = 29308658930460/(1x1729)
LCM = 29308658930460/1729
LCM = 16951219740
Thus, we can understand that the LCM of 251,245,988,589,819 is 16951219740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 251, 245, 988, 589, 819
1. What is the LCM of 251, 245, 988, 589, 819?
Answer: LCM of 251, 245, 988, 589, 819 is 16951219740.
2. How to calculate the LCM of 251, 245, 988, 589, 819?
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 251, 245, 988, 589, 819.
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}.