LCM of 385, 910, 152, 646, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 385, 910, 152, 646, 255 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 385, 910, 152, 646, 255. So, keep reading to learn more.
Given numbers are 385,910,152,646,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 385,910,152,646,255 is 38798760.
Find LCM of 385,910,152,646,255 with Prime Factorization
| 2 | 385, 910, 152, 646, 255 |
| 5 | 385, 455, 76, 323, 255 |
| 7 | 77, 91, 76, 323, 51 |
| 17 | 11, 13, 76, 323, 51 |
| 19 | 11, 13, 76, 19, 3 |
| 11, 13, 4, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 17 x 19 x 11 x 13 x 4 x 1 x 3 = 38798760
Therefore, the lowest common multiple of 385,910,152,646,255 is 38798760.
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.
385 x 910 x 152 x 646 x 255 = 8772399636000
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.
385 : 1, 5, 7, 11, 35, 55, 77, 385
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
152 : 1, 2, 4, 8, 19, 38, 76, 152
646 : 1, 2, 17, 19, 34, 38, 323, 646
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,910,152,646,255, is 1.
Now, the common factors can be found like this.
385:5x 7x 11
910:2x 5x 7x 13
152:2x 2x 2x 19
646:2x 17x 19
255:3x 5x 17
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 5x 5x 7x 17x 19 = 226100
Therefore, the value for common factors is 226100.
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 = 8772399636000/(1x226100)
LCM = 8772399636000/226100
LCM = 38798760
Thus, we can understand that the LCM of 385,910,152,646,255 is 38798760.
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FAQs on LCM of 385, 910, 152, 646, 255
1. What is the LCM of 385, 910, 152, 646, 255?
Answer: LCM of 385, 910, 152, 646, 255 is 38798760.
2. How to calculate the LCM of 385, 910, 152, 646, 255?
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 385, 910, 152, 646, 255.
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}.