LCM of 270, 285, 415, 718, 301
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 270, 285, 415, 718, 301 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 270, 285, 415, 718, 301. So, keep reading to learn more.
Given numbers are 270,285,415,718,301
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 270,285,415,718,301 is 46010441610.
Find LCM of 270,285,415,718,301 with Prime Factorization
| 2 | 270, 285, 415, 718, 301 |
| 3 | 135, 285, 415, 359, 301 |
| 5 | 45, 95, 415, 359, 301 |
| 9, 19, 83, 359, 301 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 9 x 19 x 83 x 359 x 301 = 46010441610
Therefore, the lowest common multiple of 270,285,415,718,301 is 46010441610.
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.
270 x 285 x 415 x 718 x 301 = 6901566241500
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.
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
285 : 1, 3, 5, 15, 19, 57, 95, 285
415 : 1, 5, 83, 415
718 : 1, 2, 359, 718
301 : 1, 7, 43, 301
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,285,415,718,301, is 1.
Now, the common factors can be found like this.
270:2x 3x 3x 3x 5
285:3x 5x 19
415:5x 83
718:2x 359
301:7x 43
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 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 6901566241500/(1x150)
LCM = 6901566241500/150
LCM = 46010441610
Thus, we can understand that the LCM of 270,285,415,718,301 is 46010441610.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 270, 285, 415, 718, 301
1. What is the LCM of 270, 285, 415, 718, 301?
Answer: LCM of 270, 285, 415, 718, 301 is 46010441610.
2. How to calculate the LCM of 270, 285, 415, 718, 301?
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 270, 285, 415, 718, 301.
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}.