LCM of 966, 226, 576, 704, 563
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 226, 576, 704, 563 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 966, 226, 576, 704, 563. So, keep reading to learn more.
Given numbers are 966,226,576,704,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,226,576,704,563 is 64897487424.
Find LCM of 966,226,576,704,563 with Prime Factorization
| 2 | 966, 226, 576, 704, 563 |
| 2 | 483, 113, 288, 352, 563 |
| 2 | 483, 113, 144, 176, 563 |
| 2 | 483, 113, 72, 88, 563 |
| 2 | 483, 113, 36, 44, 563 |
| 2 | 483, 113, 18, 22, 563 |
| 3 | 483, 113, 9, 11, 563 |
| 161, 113, 3, 11, 563 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 161 x 113 x 3 x 11 x 563 = 64897487424
Therefore, the lowest common multiple of 966,226,576,704,563 is 64897487424.
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.
966 x 226 x 576 x 704 x 563 = 49841270341632
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.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
226 : 1, 2, 113, 226
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,226,576,704,563, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
226:2x 113
576:2x 2x 2x 2x 2x 2x 3x 3
704:2x 2x 2x 2x 2x 2x 11
563:563
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 2x 3 = 768
Therefore, the value for common factors is 768.
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 = 49841270341632/(1x768)
LCM = 49841270341632/768
LCM = 64897487424
Thus, we can understand that the LCM of 966,226,576,704,563 is 64897487424.
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FAQs on LCM of 966, 226, 576, 704, 563
1. What is the LCM of 966, 226, 576, 704, 563?
Answer: LCM of 966, 226, 576, 704, 563 is 64897487424.
2. How to calculate the LCM of 966, 226, 576, 704, 563?
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 966, 226, 576, 704, 563.
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}.