LCM of 344, 576, 656, 622, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 344, 576, 656, 622, 746 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, 576, 656, 622, 746. So, keep reading to learn more.
Given numbers are 344,576,656,622,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,576,656,622,746 is 117799654464.
Find LCM of 344,576,656,622,746 with Prime Factorization
| 2 | 344, 576, 656, 622, 746 |
| 2 | 172, 288, 328, 311, 373 |
| 2 | 86, 144, 164, 311, 373 |
| 2 | 43, 72, 82, 311, 373 |
| 43, 36, 41, 311, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 43 x 36 x 41 x 311 x 373 = 117799654464
Therefore, the lowest common multiple of 344,576,656,622,746 is 117799654464.
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 576 x 656 x 622 x 746 = 60313423085568
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
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
622 : 1, 2, 311, 622
746 : 1, 2, 373, 746
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,576,656,622,746, is 2.
Now, the common factors can be found like this.
344:2x 2x 2x 43
576:2x 2x 2x 2x 2x 2x 3x 3
656:2x 2x 2x 2x 41
622:2x 311
746:2x 373
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 2x 2x 2x 2x 2 = 256
Therefore, the value for common factors is 256.
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 = 60313423085568/(2x256)
LCM = 60313423085568/512
LCM = 117799654464
Thus, we can understand that the LCM of 344,576,656,622,746 is 117799654464.
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FAQs on LCM of 344, 576, 656, 622, 746
1. What is the LCM of 344, 576, 656, 622, 746?
Answer: LCM of 344, 576, 656, 622, 746 is 117799654464.
2. How to calculate the LCM of 344, 576, 656, 622, 746?
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, 576, 656, 622, 746.
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}.