LCM of 105, 960, 465, 791, 797
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 960, 465, 791, 797 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 105, 960, 465, 791, 797. So, keep reading to learn more.
Given numbers are 105,960,465,791,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,960,465,791,797 is 18761507520.
Find LCM of 105,960,465,791,797 with Prime Factorization
| 3 | 105, 960, 465, 791, 797 |
| 5 | 35, 320, 155, 791, 797 |
| 7 | 7, 64, 31, 791, 797 |
| 1, 64, 31, 113, 797 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 1 x 64 x 31 x 113 x 797 = 18761507520
Therefore, the lowest common multiple of 105,960,465,791,797 is 18761507520.
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.
105 x 960 x 465 x 791 x 797 = 29549374344000
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
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
465 : 1, 3, 5, 15, 31, 93, 155, 465
791 : 1, 7, 113, 791
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,960,465,791,797, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
960:2x 2x 2x 2x 2x 2x 3x 5
465:3x 5x 31
791:7x 113
797:797
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 7 = 1575
Therefore, the value for common factors is 1575.
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 = 29549374344000/(1x1575)
LCM = 29549374344000/1575
LCM = 18761507520
Thus, we can understand that the LCM of 105,960,465,791,797 is 18761507520.
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FAQs on LCM of 105, 960, 465, 791, 797
1. What is the LCM of 105, 960, 465, 791, 797?
Answer: LCM of 105, 960, 465, 791, 797 is 18761507520.
2. How to calculate the LCM of 105, 960, 465, 791, 797?
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 105, 960, 465, 791, 797.
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}.