LCM of 117, 543, 923, 510, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 543, 923, 510, 585 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 117, 543, 923, 510, 585. So, keep reading to learn more.
Given numbers are 117,543,923,510,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,543,923,510,585 is 255606390.
Find LCM of 117,543,923,510,585 with Prime Factorization
| 3 | 117, 543, 923, 510, 585 |
| 3 | 39, 181, 923, 170, 195 |
| 5 | 13, 181, 923, 170, 65 |
| 13 | 13, 181, 923, 34, 13 |
| 1, 181, 71, 34, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 1 x 181 x 71 x 34 x 1 = 255606390
Therefore, the lowest common multiple of 117,543,923,510,585 is 255606390.
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.
117 x 543 x 923 x 510 x 585 = 17494979363550
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.
117 : 1, 3, 9, 13, 39, 117
543 : 1, 3, 181, 543
923 : 1, 13, 71, 923
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,543,923,510,585, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
543:3x 181
923:13x 71
510:2x 3x 5x 17
585:3x 3x 5x 13
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 13x 13 = 68445
Therefore, the value for common factors is 68445.
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 = 17494979363550/(1x68445)
LCM = 17494979363550/68445
LCM = 255606390
Thus, we can understand that the LCM of 117,543,923,510,585 is 255606390.
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FAQs on LCM of 117, 543, 923, 510, 585
1. What is the LCM of 117, 543, 923, 510, 585?
Answer: LCM of 117, 543, 923, 510, 585 is 255606390.
2. How to calculate the LCM of 117, 543, 923, 510, 585?
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 117, 543, 923, 510, 585.
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}.