LCM of 906, 811, 204, 960, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 811, 204, 960, 969 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 906, 811, 204, 960, 969. So, keep reading to learn more.
Given numbers are 906,811,204,960,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,811,204,960,969 is 37972706880.
Find LCM of 906,811,204,960,969 with Prime Factorization
| 2 | 906, 811, 204, 960, 969 |
| 2 | 453, 811, 102, 480, 969 |
| 3 | 453, 811, 51, 240, 969 |
| 17 | 151, 811, 17, 80, 323 |
| 151, 811, 1, 80, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 151 x 811 x 1 x 80 x 19 = 37972706880
Therefore, the lowest common multiple of 906,811,204,960,969 is 37972706880.
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.
906 x 811 x 204 x 960 x 969 = 139435779663360
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
811 : 1, 811
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
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
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,811,204,960,969, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
811:811
204:2x 2x 3x 17
960:2x 2x 2x 2x 2x 2x 3x 5
969:3x 17x 19
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 3x 17 = 3672
Therefore, the value for common factors is 3672.
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 = 139435779663360/(1x3672)
LCM = 139435779663360/3672
LCM = 37972706880
Thus, we can understand that the LCM of 906,811,204,960,969 is 37972706880.
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FAQs on LCM of 906, 811, 204, 960, 969
1. What is the LCM of 906, 811, 204, 960, 969?
Answer: LCM of 906, 811, 204, 960, 969 is 37972706880.
2. How to calculate the LCM of 906, 811, 204, 960, 969?
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 906, 811, 204, 960, 969.
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}.