LCM of 561, 864, 473, 298, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 864, 473, 298, 960 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 561, 864, 473, 298, 960. So, keep reading to learn more.
Given numbers are 561,864,473,298,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,864,473,298,960 is 10351661760.
Find LCM of 561,864,473,298,960 with Prime Factorization
| 2 | 561, 864, 473, 298, 960 |
| 2 | 561, 432, 473, 149, 480 |
| 2 | 561, 216, 473, 149, 240 |
| 2 | 561, 108, 473, 149, 120 |
| 2 | 561, 54, 473, 149, 60 |
| 3 | 561, 27, 473, 149, 30 |
| 11 | 187, 9, 473, 149, 10 |
| 17, 9, 43, 149, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 11 x 17 x 9 x 43 x 149 x 10 = 10351661760
Therefore, the lowest common multiple of 561,864,473,298,960 is 10351661760.
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.
561 x 864 x 473 x 298 x 960 = 65588128911360
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
473 : 1, 11, 43, 473
298 : 1, 2, 149, 298
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,864,473,298,960, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
864:2x 2x 2x 2x 2x 3x 3x 3
473:11x 43
298:2x 149
960:2x 2x 2x 2x 2x 2x 3x 5
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 3x 3x 11 = 6336
Therefore, the value for common factors is 6336.
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 = 65588128911360/(1x6336)
LCM = 65588128911360/6336
LCM = 10351661760
Thus, we can understand that the LCM of 561,864,473,298,960 is 10351661760.
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FAQs on LCM of 561, 864, 473, 298, 960
1. What is the LCM of 561, 864, 473, 298, 960?
Answer: LCM of 561, 864, 473, 298, 960 is 10351661760.
2. How to calculate the LCM of 561, 864, 473, 298, 960?
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 561, 864, 473, 298, 960.
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}.