LCM of 344, 231, 611, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 344, 231, 611, 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, 231, 611, 817. So, keep reading to learn more.
Given numbers are 344,231,611,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,231,611,817 is 922497576.
Find LCM of 344,231,611,817 with Prime Factorization
| 43 | 344, 231, 611, 817 |
| 8, 231, 611, 19 |
Multiply the prime numbers at the bottom and the left side.
43 x 8 x 231 x 611 x 19 = 922497576
Therefore, the lowest common multiple of 344,231,611,817 is 922497576.
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 231 x 611 x 817 = 39667395768
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
231 : 1, 3, 7, 11, 21, 33, 77, 231
611 : 1, 13, 47, 611
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,231,611,817, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
231:3x 7x 11
611:13x 47
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.
43 = 43
Therefore, the value for common factors is 43.
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 = 39667395768/(1x43)
LCM = 39667395768/43
LCM = 922497576
Thus, we can understand that the LCM of 344,231,611,817 is 922497576.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 344, 231, 611, 817
1. What is the LCM of 344, 231, 611, 817?
Answer: LCM of 344, 231, 611, 817 is 922497576.
2. How to calculate the LCM of 344, 231, 611, 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, 231, 611, 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}.