LCM of 344, 538, 396, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 344, 538, 396, 817 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 344, 538, 396, 817. So, keep reading to learn more.
Given numbers are 344,538,396,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,538,396,817 is 174060216.
Find LCM of 344,538,396,817 with Prime Factorization
| 2 | 344, 538, 396, 817 |
| 2 | 172, 269, 198, 817 |
| 43 | 86, 269, 99, 817 |
| 2, 269, 99, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 2 x 269 x 99 x 19 = 174060216
Therefore, the lowest common multiple of 344,538,396,817 is 174060216.
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.
344 x 538 x 396 x 817 = 59876714304
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
538 : 1, 2, 269, 538
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,538,396,817, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
538:2x 269
396:2x 2x 3x 3x 11
817:19x 43
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 2x 43 = 344
Therefore, the value for common factors is 344.
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 = 59876714304/(1x344)
LCM = 59876714304/344
LCM = 174060216
Thus, we can understand that the LCM of 344,538,396,817 is 174060216.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 344, 538, 396, 817
1. What is the LCM of 344, 538, 396, 817?
Answer: LCM of 344, 538, 396, 817 is 174060216.
2. How to calculate the LCM of 344, 538, 396, 817?
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 344, 538, 396, 817.
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}.