LCM of 459, 334, 105, 96
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 334, 105, 96 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, 334, 105, 96. So, keep reading to learn more.
Given numbers are 459,334,105,96
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,334,105,96 is 85851360.
Find LCM of 459,334,105,96 with Prime Factorization
| 2 | 459, 334, 105, 96 |
| 3 | 459, 167, 105, 48 |
| 153, 167, 35, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 153 x 167 x 35 x 16 = 85851360
Therefore, the lowest common multiple of 459,334,105,96 is 85851360.
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 334 x 105 x 96 = 1545324480
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
334 : 1, 2, 167, 334
105 : 1, 3, 5, 7, 15, 21, 35, 105
96 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,334,105,96, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
334:2x 167
105:3x 5x 7
96:2x 2x 2x 2x 2x 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 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 1545324480/(1x18)
LCM = 1545324480/18
LCM = 85851360
Thus, we can understand that the LCM of 459,334,105,96 is 85851360.
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FAQs on LCM of 459, 334, 105, 96
1. What is the LCM of 459, 334, 105, 96?
Answer: LCM of 459, 334, 105, 96 is 85851360.
2. How to calculate the LCM of 459, 334, 105, 96?
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, 334, 105, 96.
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}.