LCM of 459, 845, 392, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 845, 392, 360 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 459, 845, 392, 360. So, keep reading to learn more.
Given numbers are 459,845,392,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,845,392,360 is 152039160.
Find LCM of 459,845,392,360 with Prime Factorization
| 2 | 459, 845, 392, 360 |
| 2 | 459, 845, 196, 180 |
| 2 | 459, 845, 98, 90 |
| 3 | 459, 845, 49, 45 |
| 3 | 153, 845, 49, 15 |
| 5 | 51, 845, 49, 5 |
| 51, 169, 49, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 51 x 169 x 49 x 1 = 152039160
Therefore, the lowest common multiple of 459,845,392,360 is 152039160.
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.
459 x 845 x 392 x 360 = 54734097600
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
845 : 1, 5, 13, 65, 169, 845
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,845,392,360, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
845:5x 13x 13
392:2x 2x 2x 7x 7
360:2x 2x 2x 3x 3x 5
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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 54734097600/(1x360)
LCM = 54734097600/360
LCM = 152039160
Thus, we can understand that the LCM of 459,845,392,360 is 152039160.
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FAQs on LCM of 459, 845, 392, 360
1. What is the LCM of 459, 845, 392, 360?
Answer: LCM of 459, 845, 392, 360 is 152039160.
2. How to calculate the LCM of 459, 845, 392, 360?
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 459, 845, 392, 360.
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}.