LCM of 168, 451, 463, 448, 772
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 451, 463, 448, 772 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 168, 451, 463, 448, 772. So, keep reading to learn more.
Given numbers are 168,451,463,448,772
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,451,463,448,772 is 54164421696.
Find LCM of 168,451,463,448,772 with Prime Factorization
| 2 | 168, 451, 463, 448, 772 |
| 2 | 84, 451, 463, 224, 386 |
| 2 | 42, 451, 463, 112, 193 |
| 7 | 21, 451, 463, 56, 193 |
| 3, 451, 463, 8, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 3 x 451 x 463 x 8 x 193 = 54164421696
Therefore, the lowest common multiple of 168,451,463,448,772 is 54164421696.
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.
168 x 451 x 463 x 448 x 772 = 12132830459904
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
451 : 1, 11, 41, 451
463 : 1, 463
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
772 : 1, 2, 4, 193, 386, 772
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,451,463,448,772, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
451:11x 41
463:463
448:2x 2x 2x 2x 2x 2x 7
772:2x 2x 193
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 7 = 224
Therefore, the value for common factors is 224.
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 = 12132830459904/(1x224)
LCM = 12132830459904/224
LCM = 54164421696
Thus, we can understand that the LCM of 168,451,463,448,772 is 54164421696.
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FAQs on LCM of 168, 451, 463, 448, 772
1. What is the LCM of 168, 451, 463, 448, 772?
Answer: LCM of 168, 451, 463, 448, 772 is 54164421696.
2. How to calculate the LCM of 168, 451, 463, 448, 772?
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 168, 451, 463, 448, 772.
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}.