LCM of 792, 461, 814, 360, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 461, 814, 360, 447 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 792, 461, 814, 360, 447. So, keep reading to learn more.
Given numbers are 792,461,814,360,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,461,814,360,447 is 10064312280.
Find LCM of 792,461,814,360,447 with Prime Factorization
| 2 | 792, 461, 814, 360, 447 |
| 2 | 396, 461, 407, 180, 447 |
| 2 | 198, 461, 407, 90, 447 |
| 3 | 99, 461, 407, 45, 447 |
| 3 | 33, 461, 407, 15, 149 |
| 11 | 11, 461, 407, 5, 149 |
| 1, 461, 37, 5, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 1 x 461 x 37 x 5 x 149 = 10064312280
Therefore, the lowest common multiple of 792,461,814,360,447 is 10064312280.
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.
792 x 461 x 814 x 360 x 447 = 47825611954560
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.
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
461 : 1, 461
814 : 1, 2, 11, 22, 37, 74, 407, 814
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,461,814,360,447, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
461:461
814:2x 11x 37
360:2x 2x 2x 3x 3x 5
447:3x 149
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 3x 3x 11 = 4752
Therefore, the value for common factors is 4752.
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 = 47825611954560/(1x4752)
LCM = 47825611954560/4752
LCM = 10064312280
Thus, we can understand that the LCM of 792,461,814,360,447 is 10064312280.
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FAQs on LCM of 792, 461, 814, 360, 447
1. What is the LCM of 792, 461, 814, 360, 447?
Answer: LCM of 792, 461, 814, 360, 447 is 10064312280.
2. How to calculate the LCM of 792, 461, 814, 360, 447?
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 792, 461, 814, 360, 447.
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}.