LCM of 367, 407, 728, 814, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 367, 407, 728, 814, 648 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 367, 407, 728, 814, 648. So, keep reading to learn more.
Given numbers are 367,407,728,814,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,407,728,814,648 is 8807991192.
Find LCM of 367,407,728,814,648 with Prime Factorization
| 2 | 367, 407, 728, 814, 648 |
| 2 | 367, 407, 364, 407, 324 |
| 2 | 367, 407, 182, 407, 162 |
| 11 | 367, 407, 91, 407, 81 |
| 37 | 367, 37, 91, 37, 81 |
| 367, 1, 91, 1, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 37 x 367 x 1 x 91 x 1 x 81 = 8807991192
Therefore, the lowest common multiple of 367,407,728,814,648 is 8807991192.
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.
367 x 407 x 728 x 814 x 648 = 57357638642304
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.
367 : 1, 367
407 : 1, 11, 37, 407
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
814 : 1, 2, 11, 22, 37, 74, 407, 814
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,407,728,814,648, is 1.
Now, the common factors can be found like this.
367:367
407:11x 37
728:2x 2x 2x 7x 13
814:2x 11x 37
648:2x 2x 2x 3x 3x 3x 3
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 11x 37 = 6512
Therefore, the value for common factors is 6512.
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 = 57357638642304/(1x6512)
LCM = 57357638642304/6512
LCM = 8807991192
Thus, we can understand that the LCM of 367,407,728,814,648 is 8807991192.
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FAQs on LCM of 367, 407, 728, 814, 648
1. What is the LCM of 367, 407, 728, 814, 648?
Answer: LCM of 367, 407, 728, 814, 648 is 8807991192.
2. How to calculate the LCM of 367, 407, 728, 814, 648?
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 367, 407, 728, 814, 648.
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}.