LCM of 665, 219, 960, 104, 431
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 665, 219, 960, 104, 431 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 665, 219, 960, 104, 431. So, keep reading to learn more.
Given numbers are 665,219,960,104,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 665,219,960,104,431 is 52223545920.
Find LCM of 665,219,960,104,431 with Prime Factorization
| 2 | 665, 219, 960, 104, 431 |
| 2 | 665, 219, 480, 52, 431 |
| 2 | 665, 219, 240, 26, 431 |
| 3 | 665, 219, 120, 13, 431 |
| 5 | 665, 73, 40, 13, 431 |
| 133, 73, 8, 13, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 133 x 73 x 8 x 13 x 431 = 52223545920
Therefore, the lowest common multiple of 665,219,960,104,431 is 52223545920.
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.
665 x 219 x 960 x 104 x 431 = 6266825510400
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.
665 : 1, 5, 7, 19, 35, 95, 133, 665
219 : 1, 3, 73, 219
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
104 : 1, 2, 4, 8, 13, 26, 52, 104
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,219,960,104,431, is 1.
Now, the common factors can be found like this.
665:5x 7x 19
219:3x 73
960:2x 2x 2x 2x 2x 2x 3x 5
104:2x 2x 2x 13
431:431
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 5 = 120
Therefore, the value for common factors is 120.
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 = 6266825510400/(1x120)
LCM = 6266825510400/120
LCM = 52223545920
Thus, we can understand that the LCM of 665,219,960,104,431 is 52223545920.
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FAQs on LCM of 665, 219, 960, 104, 431
1. What is the LCM of 665, 219, 960, 104, 431?
Answer: LCM of 665, 219, 960, 104, 431 is 52223545920.
2. How to calculate the LCM of 665, 219, 960, 104, 431?
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 665, 219, 960, 104, 431.
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}.