LCM of 463, 160, 312, 656, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 160, 312, 656, 105 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 463, 160, 312, 656, 105. So, keep reading to learn more.
Given numbers are 463,160,312,656,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,160,312,656,105 is 829177440.
Find LCM of 463,160,312,656,105 with Prime Factorization
| 2 | 463, 160, 312, 656, 105 |
| 2 | 463, 80, 156, 328, 105 |
| 2 | 463, 40, 78, 164, 105 |
| 2 | 463, 20, 39, 82, 105 |
| 3 | 463, 10, 39, 41, 105 |
| 5 | 463, 10, 13, 41, 35 |
| 463, 2, 13, 41, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 463 x 2 x 13 x 41 x 7 = 829177440
Therefore, the lowest common multiple of 463,160,312,656,105 is 829177440.
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.
463 x 160 x 312 x 656 x 105 = 1592020684800
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.
463 : 1, 463
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,160,312,656,105, is 1.
Now, the common factors can be found like this.
463:463
160:2x 2x 2x 2x 2x 5
312:2x 2x 2x 3x 13
656:2x 2x 2x 2x 41
105:3x 5x 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 2x 2x 2x 3x 5 = 1920
Therefore, the value for common factors is 1920.
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 = 1592020684800/(1x1920)
LCM = 1592020684800/1920
LCM = 829177440
Thus, we can understand that the LCM of 463,160,312,656,105 is 829177440.
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FAQs on LCM of 463, 160, 312, 656, 105
1. What is the LCM of 463, 160, 312, 656, 105?
Answer: LCM of 463, 160, 312, 656, 105 is 829177440.
2. How to calculate the LCM of 463, 160, 312, 656, 105?
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 463, 160, 312, 656, 105.
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}.