LCM of 393, 256, 303, 754, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 393, 256, 303, 754, 217 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 393, 256, 303, 754, 217. So, keep reading to learn more.
Given numbers are 393,256,303,754,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 393,256,303,754,217 is 831294627072.
Find LCM of 393,256,303,754,217 with Prime Factorization
| 2 | 393, 256, 303, 754, 217 |
| 3 | 393, 128, 303, 377, 217 |
| 131, 128, 101, 377, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 131 x 128 x 101 x 377 x 217 = 831294627072
Therefore, the lowest common multiple of 393,256,303,754,217 is 831294627072.
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.
393 x 256 x 303 x 754 x 217 = 4987767762432
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.
393 : 1, 3, 131, 393
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
303 : 1, 3, 101, 303
754 : 1, 2, 13, 26, 29, 58, 377, 754
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,256,303,754,217, is 1.
Now, the common factors can be found like this.
393:3x 131
256:2x 2x 2x 2x 2x 2x 2x 2
303:3x 101
754:2x 13x 29
217:7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 4987767762432/(1x6)
LCM = 4987767762432/6
LCM = 831294627072
Thus, we can understand that the LCM of 393,256,303,754,217 is 831294627072.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 393, 256, 303, 754, 217
1. What is the LCM of 393, 256, 303, 754, 217?
Answer: LCM of 393, 256, 303, 754, 217 is 831294627072.
2. How to calculate the LCM of 393, 256, 303, 754, 217?
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 393, 256, 303, 754, 217.
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}.