LCM of 363, 758, 303, 404, 227
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 758, 303, 404, 227 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 363, 758, 303, 404, 227. So, keep reading to learn more.
Given numbers are 363,758,303,404,227
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,758,303,404,227 is 12616911516.
Find LCM of 363,758,303,404,227 with Prime Factorization
| 2 | 363, 758, 303, 404, 227 |
| 3 | 363, 379, 303, 202, 227 |
| 101 | 121, 379, 101, 202, 227 |
| 121, 379, 1, 2, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 101 x 121 x 379 x 1 x 2 x 227 = 12616911516
Therefore, the lowest common multiple of 363,758,303,404,227 is 12616911516.
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.
363 x 758 x 303 x 404 x 227 = 7645848378696
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.
363 : 1, 3, 11, 33, 121, 363
758 : 1, 2, 379, 758
303 : 1, 3, 101, 303
404 : 1, 2, 4, 101, 202, 404
227 : 1, 227
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,758,303,404,227, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
758:2x 379
303:3x 101
404:2x 2x 101
227:227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 101 = 606
Therefore, the value for common factors is 606.
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 = 7645848378696/(1x606)
LCM = 7645848378696/606
LCM = 12616911516
Thus, we can understand that the LCM of 363,758,303,404,227 is 12616911516.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 363, 758, 303, 404, 227
1. What is the LCM of 363, 758, 303, 404, 227?
Answer: LCM of 363, 758, 303, 404, 227 is 12616911516.
2. How to calculate the LCM of 363, 758, 303, 404, 227?
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 363, 758, 303, 404, 227.
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}.