LCM of 595, 459, 556, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 459, 556, 406 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 595, 459, 556, 406. So, keep reading to learn more.
Given numbers are 595,459,556,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,459,556,406 is 259032060.
Find LCM of 595,459,556,406 with Prime Factorization
| 2 | 595, 459, 556, 406 |
| 7 | 595, 459, 278, 203 |
| 17 | 85, 459, 278, 29 |
| 5, 27, 278, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 5 x 27 x 278 x 29 = 259032060
Therefore, the lowest common multiple of 595,459,556,406 is 259032060.
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.
595 x 459 x 556 x 406 = 61649630280
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.
595 : 1, 5, 7, 17, 35, 85, 119, 595
459 : 1, 3, 9, 17, 27, 51, 153, 459
556 : 1, 2, 4, 139, 278, 556
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,459,556,406, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
459:3x 3x 3x 17
556:2x 2x 139
406:2x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 17 = 238
Therefore, the value for common factors is 238.
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 = 61649630280/(1x238)
LCM = 61649630280/238
LCM = 259032060
Thus, we can understand that the LCM of 595,459,556,406 is 259032060.
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FAQs on LCM of 595, 459, 556, 406
1. What is the LCM of 595, 459, 556, 406?
Answer: LCM of 595, 459, 556, 406 is 259032060.
2. How to calculate the LCM of 595, 459, 556, 406?
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 595, 459, 556, 406.
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}.