LCM of 818, 858, 517, 338, 149
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 818, 858, 517, 338, 149 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 818, 858, 517, 338, 149. So, keep reading to learn more.
Given numbers are 818,858,517,338,149
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,858,517,338,149 is 31947587958.
Find LCM of 818,858,517,338,149 with Prime Factorization
| 2 | 818, 858, 517, 338, 149 |
| 11 | 409, 429, 517, 169, 149 |
| 13 | 409, 39, 47, 169, 149 |
| 409, 3, 47, 13, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 409 x 3 x 47 x 13 x 149 = 31947587958
Therefore, the lowest common multiple of 818,858,517,338,149 is 31947587958.
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.
818 x 858 x 517 x 338 x 149 = 18274020311976
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.
818 : 1, 2, 409, 818
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
517 : 1, 11, 47, 517
338 : 1, 2, 13, 26, 169, 338
149 : 1, 149
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,858,517,338,149, is 1.
Now, the common factors can be found like this.
818:2x 409
858:2x 3x 11x 13
517:11x 47
338:2x 13x 13
149:149
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 11x 13 = 572
Therefore, the value for common factors is 572.
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 = 18274020311976/(1x572)
LCM = 18274020311976/572
LCM = 31947587958
Thus, we can understand that the LCM of 818,858,517,338,149 is 31947587958.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 818, 858, 517, 338, 149
1. What is the LCM of 818, 858, 517, 338, 149?
Answer: LCM of 818, 858, 517, 338, 149 is 31947587958.
2. How to calculate the LCM of 818, 858, 517, 338, 149?
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 818, 858, 517, 338, 149.
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}.