LCM of 818, 589, 241, 978, 326
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 818, 589, 241, 978, 326 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, 589, 241, 978, 326. So, keep reading to learn more.
Given numbers are 818,589,241,978,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,589,241,978,326 is 56779883898.
Find LCM of 818,589,241,978,326 with Prime Factorization
| 2 | 818, 589, 241, 978, 326 |
| 163 | 409, 589, 241, 489, 163 |
| 409, 589, 241, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 163 x 409 x 589 x 241 x 3 x 1 = 56779883898
Therefore, the lowest common multiple of 818,589,241,978,326 is 56779883898.
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 589 x 241 x 978 x 326 = 37020484301496
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
589 : 1, 19, 31, 589
241 : 1, 241
978 : 1, 2, 3, 6, 163, 326, 489, 978
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,589,241,978,326, is 1.
Now, the common factors can be found like this.
818:2x 409
589:19x 31
241:241
978:2x 3x 163
326:2x 163
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 163 = 652
Therefore, the value for common factors is 652.
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 = 37020484301496/(1x652)
LCM = 37020484301496/652
LCM = 56779883898
Thus, we can understand that the LCM of 818,589,241,978,326 is 56779883898.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 818, 589, 241, 978, 326
1. What is the LCM of 818, 589, 241, 978, 326?
Answer: LCM of 818, 589, 241, 978, 326 is 56779883898.
2. How to calculate the LCM of 818, 589, 241, 978, 326?
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, 589, 241, 978, 326.
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}.