LCM of 585, 917, 378, 270, 270
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 917, 378, 270, 270 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 585, 917, 378, 270, 270. So, keep reading to learn more.
Given numbers are 585,917,378,270,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,917,378,270,270 is 3218670.
Find LCM of 585,917,378,270,270 with Prime Factorization
| 2 | 585, 917, 378, 270, 270 |
| 3 | 585, 917, 189, 135, 135 |
| 3 | 195, 917, 63, 45, 45 |
| 3 | 65, 917, 21, 15, 15 |
| 5 | 65, 917, 7, 5, 5 |
| 7 | 13, 917, 7, 1, 1 |
| 13, 131, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 7 x 13 x 131 x 1 x 1 x 1 = 3218670
Therefore, the lowest common multiple of 585,917,378,270,270 is 3218670.
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.
585 x 917 x 378 x 270 x 270 = 14782385709000
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
917 : 1, 7, 131, 917
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,917,378,270,270, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
917:7x 131
378:2x 3x 3x 3x 7
270:2x 3x 3x 3x 5
270:2x 3x 3x 3x 5
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 3x 3x 3x 3x 3x 3x 3x 3x 5x 5x 7 = 4592700
Therefore, the value for common factors is 4592700.
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 = 14782385709000/(1x4592700)
LCM = 14782385709000/4592700
LCM = 3218670
Thus, we can understand that the LCM of 585,917,378,270,270 is 3218670.
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FAQs on LCM of 585, 917, 378, 270, 270
1. What is the LCM of 585, 917, 378, 270, 270?
Answer: LCM of 585, 917, 378, 270, 270 is 3218670.
2. How to calculate the LCM of 585, 917, 378, 270, 270?
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 585, 917, 378, 270, 270.
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}.