LCM of 376, 728, 434, 622, 377
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 376, 728, 434, 622, 377 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 376, 728, 434, 622, 377. So, keep reading to learn more.
Given numbers are 376,728,434,622,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,728,434,622,377 is 9566417224.
Find LCM of 376,728,434,622,377 with Prime Factorization
| 2 | 376, 728, 434, 622, 377 |
| 2 | 188, 364, 217, 311, 377 |
| 2 | 94, 182, 217, 311, 377 |
| 7 | 47, 91, 217, 311, 377 |
| 13 | 47, 13, 31, 311, 377 |
| 47, 1, 31, 311, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 13 x 47 x 1 x 31 x 311 x 29 = 9566417224
Therefore, the lowest common multiple of 376,728,434,622,377 is 9566417224.
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.
376 x 728 x 434 x 622 x 377 = 27857406956288
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
434 : 1, 2, 7, 14, 31, 62, 217, 434
622 : 1, 2, 311, 622
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,728,434,622,377, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
728:2x 2x 2x 7x 13
434:2x 7x 31
622:2x 311
377:13x 29
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 7x 13 = 2912
Therefore, the value for common factors is 2912.
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 = 27857406956288/(1x2912)
LCM = 27857406956288/2912
LCM = 9566417224
Thus, we can understand that the LCM of 376,728,434,622,377 is 9566417224.
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FAQs on LCM of 376, 728, 434, 622, 377
1. What is the LCM of 376, 728, 434, 622, 377?
Answer: LCM of 376, 728, 434, 622, 377 is 9566417224.
2. How to calculate the LCM of 376, 728, 434, 622, 377?
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 376, 728, 434, 622, 377.
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}.