LCM of 227, 488, 365, 444, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 488, 365, 444, 146 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 227, 488, 365, 444, 146. So, keep reading to learn more.
Given numbers are 227,488,365,444,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,488,365,444,146 is 4488089640.
Find LCM of 227,488,365,444,146 with Prime Factorization
| 2 | 227, 488, 365, 444, 146 |
| 2 | 227, 244, 365, 222, 73 |
| 73 | 227, 122, 365, 111, 73 |
| 227, 122, 5, 111, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 73 x 227 x 122 x 5 x 111 x 1 = 4488089640
Therefore, the lowest common multiple of 227,488,365,444,146 is 4488089640.
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.
227 x 488 x 365 x 444 x 146 = 2621044349760
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.
227 : 1, 227
488 : 1, 2, 4, 8, 61, 122, 244, 488
365 : 1, 5, 73, 365
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,488,365,444,146, is 1.
Now, the common factors can be found like this.
227:227
488:2x 2x 2x 61
365:5x 73
444:2x 2x 3x 37
146:2x 73
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 73 = 584
Therefore, the value for common factors is 584.
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 = 2621044349760/(1x584)
LCM = 2621044349760/584
LCM = 4488089640
Thus, we can understand that the LCM of 227,488,365,444,146 is 4488089640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 227, 488, 365, 444, 146
1. What is the LCM of 227, 488, 365, 444, 146?
Answer: LCM of 227, 488, 365, 444, 146 is 4488089640.
2. How to calculate the LCM of 227, 488, 365, 444, 146?
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 227, 488, 365, 444, 146.
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}.