LCM of 965, 585, 405, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 965, 585, 405, 680 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 965, 585, 405, 680. So, keep reading to learn more.
Given numbers are 965,585,405,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,585,405,680 is 138195720.
Find LCM of 965,585,405,680 with Prime Factorization
| 3 | 965, 585, 405, 680 |
| 3 | 965, 195, 135, 680 |
| 5 | 965, 65, 45, 680 |
| 193, 13, 9, 136 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 193 x 13 x 9 x 136 = 138195720
Therefore, the lowest common multiple of 965,585,405,680 is 138195720.
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.
965 x 585 x 405 x 680 = 155470185000
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.
965 : 1, 5, 193, 965
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,585,405,680, is 5.
Now, the common factors can be found like this.
965:5x 193
585:3x 3x 5x 13
405:3x 3x 3x 3x 5
680:2x 2x 2x 5x 17
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 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 155470185000/(5x225)
LCM = 155470185000/1125
LCM = 138195720
Thus, we can understand that the LCM of 965,585,405,680 is 138195720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 965, 585, 405, 680
1. What is the LCM of 965, 585, 405, 680?
Answer: LCM of 965, 585, 405, 680 is 138195720.
2. How to calculate the LCM of 965, 585, 405, 680?
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 965, 585, 405, 680.
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}.