LCM of 509, 119, 408, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 509, 119, 408, 819 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 509, 119, 408, 819. So, keep reading to learn more.
Given numbers are 509,119,408,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,119,408,819 is 56694456.
Find LCM of 509,119,408,819 with Prime Factorization
| 3 | 509, 119, 408, 819 |
| 7 | 509, 119, 136, 273 |
| 17 | 509, 17, 136, 39 |
| 509, 1, 8, 39 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 17 x 509 x 1 x 8 x 39 = 56694456
Therefore, the lowest common multiple of 509,119,408,819 is 56694456.
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.
509 x 119 x 408 x 819 = 20239920792
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.
509 : 1, 509
119 : 1, 7, 17, 119
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,119,408,819, is 1.
Now, the common factors can be found like this.
509:509
119:7x 17
408:2x 2x 2x 3x 17
819:3x 3x 7x 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 7x 17 = 357
Therefore, the value for common factors is 357.
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 = 20239920792/(1x357)
LCM = 20239920792/357
LCM = 56694456
Thus, we can understand that the LCM of 509,119,408,819 is 56694456.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 509, 119, 408, 819
1. What is the LCM of 509, 119, 408, 819?
Answer: LCM of 509, 119, 408, 819 is 56694456.
2. How to calculate the LCM of 509, 119, 408, 819?
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 509, 119, 408, 819.
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}.