LCM of 565, 195, 585, 660, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 195, 585, 660, 675 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 565, 195, 585, 660, 675. So, keep reading to learn more.
Given numbers are 565,195,585,660,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,195,585,660,675 is 43629300.
Find LCM of 565,195,585,660,675 with Prime Factorization
| 3 | 565, 195, 585, 660, 675 |
| 3 | 565, 65, 195, 220, 225 |
| 5 | 565, 65, 65, 220, 75 |
| 13 | 113, 13, 13, 44, 15 |
| 113, 1, 1, 44, 15 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 113 x 1 x 1 x 44 x 15 = 43629300
Therefore, the lowest common multiple of 565,195,585,660,675 is 43629300.
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.
565 x 195 x 585 x 660 x 675 = 28713533062500
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.
565 : 1, 5, 113, 565
195 : 1, 3, 5, 13, 15, 39, 65, 195
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,195,585,660,675, is 5.
Now, the common factors can be found like this.
565:5x 113
195:3x 5x 13
585:3x 3x 5x 13
660:2x 2x 3x 5x 11
675:3x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5x 5x 5x 13 = 131625
Therefore, the value for common factors is 131625.
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 = 28713533062500/(5x131625)
LCM = 28713533062500/658125
LCM = 43629300
Thus, we can understand that the LCM of 565,195,585,660,675 is 43629300.
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FAQs on LCM of 565, 195, 585, 660, 675
1. What is the LCM of 565, 195, 585, 660, 675?
Answer: LCM of 565, 195, 585, 660, 675 is 43629300.
2. How to calculate the LCM of 565, 195, 585, 660, 675?
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 565, 195, 585, 660, 675.
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}.