LCM of 449, 392, 777, 646, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 449, 392, 777, 646, 168 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 449, 392, 777, 646, 168. So, keep reading to learn more.
Given numbers are 449,392,777,646,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,392,777,646,168 is 6310414824.
Find LCM of 449,392,777,646,168 with Prime Factorization
| 2 | 449, 392, 777, 646, 168 |
| 2 | 449, 196, 777, 323, 84 |
| 2 | 449, 98, 777, 323, 42 |
| 3 | 449, 49, 777, 323, 21 |
| 7 | 449, 49, 259, 323, 7 |
| 449, 1, 37, 323, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 449 x 1 x 37 x 323 x 7 = 6310414824
Therefore, the lowest common multiple of 449,392,777,646,168 is 6310414824.
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.
449 x 392 x 777 x 646 x 168 = 14842095666048
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.
449 : 1, 449
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
777 : 1, 3, 7, 21, 37, 111, 259, 777
646 : 1, 2, 17, 19, 34, 38, 323, 646
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,392,777,646,168, is 1.
Now, the common factors can be found like this.
449:449
392:2x 2x 2x 7x 7
777:3x 7x 37
646:2x 17x 19
168:2x 2x 2x 3x 7
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 3x 7x 7 = 2352
Therefore, the value for common factors is 2352.
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 = 14842095666048/(1x2352)
LCM = 14842095666048/2352
LCM = 6310414824
Thus, we can understand that the LCM of 449,392,777,646,168 is 6310414824.
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FAQs on LCM of 449, 392, 777, 646, 168
1. What is the LCM of 449, 392, 777, 646, 168?
Answer: LCM of 449, 392, 777, 646, 168 is 6310414824.
2. How to calculate the LCM of 449, 392, 777, 646, 168?
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 449, 392, 777, 646, 168.
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}.