LCM of 256, 474, 960, 108, 636
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 256, 474, 960, 108, 636 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 256, 474, 960, 108, 636. So, keep reading to learn more.
Given numbers are 256,474,960,108,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 256,474,960,108,636 is 144702720.
Find LCM of 256,474,960,108,636 with Prime Factorization
| 2 | 256, 474, 960, 108, 636 |
| 2 | 128, 237, 480, 54, 318 |
| 2 | 64, 237, 240, 27, 159 |
| 2 | 32, 237, 120, 27, 159 |
| 2 | 16, 237, 60, 27, 159 |
| 2 | 8, 237, 30, 27, 159 |
| 3 | 4, 237, 15, 27, 159 |
| 4, 79, 5, 9, 53 |
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 4 x 79 x 5 x 9 x 53 = 144702720
Therefore, the lowest common multiple of 256,474,960,108,636 is 144702720.
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.
256 x 474 x 960 x 108 x 636 = 8001481605120
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.
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
474 : 1, 2, 3, 6, 79, 158, 237, 474
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
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,474,960,108,636, is 2.
Now, the common factors can be found like this.
256:2x 2x 2x 2x 2x 2x 2x 2
474:2x 3x 79
960:2x 2x 2x 2x 2x 2x 3x 5
108:2x 2x 3x 3x 3
636:2x 2x 3x 53
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 2x 2x 3x 3x 3 = 27648
Therefore, the value for common factors is 27648.
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 = 8001481605120/(2x27648)
LCM = 8001481605120/55296
LCM = 144702720
Thus, we can understand that the LCM of 256,474,960,108,636 is 144702720.
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FAQs on LCM of 256, 474, 960, 108, 636
1. What is the LCM of 256, 474, 960, 108, 636?
Answer: LCM of 256, 474, 960, 108, 636 is 144702720.
2. How to calculate the LCM of 256, 474, 960, 108, 636?
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 256, 474, 960, 108, 636.
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}.