LCM of 809, 507, 338, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 507, 338, 132 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 809, 507, 338, 132. So, keep reading to learn more.
Given numbers are 809,507,338,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,507,338,132 is 18047172.
Find LCM of 809,507,338,132 with Prime Factorization
| 2 | 809, 507, 338, 132 |
| 3 | 809, 507, 169, 66 |
| 13 | 809, 169, 169, 22 |
| 13 | 809, 13, 13, 22 |
| 809, 1, 1, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 13 x 809 x 1 x 1 x 22 = 18047172
Therefore, the lowest common multiple of 809,507,338,132 is 18047172.
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.
809 x 507 x 338 x 132 = 18299832408
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.
809 : 1, 809
507 : 1, 3, 13, 39, 169, 507
338 : 1, 2, 13, 26, 169, 338
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,507,338,132, is 1.
Now, the common factors can be found like this.
809:809
507:3x 13x 13
338:2x 13x 13
132:2x 2x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 13 = 1014
Therefore, the value for common factors is 1014.
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 = 18299832408/(1x1014)
LCM = 18299832408/1014
LCM = 18047172
Thus, we can understand that the LCM of 809,507,338,132 is 18047172.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 809, 507, 338, 132
1. What is the LCM of 809, 507, 338, 132?
Answer: LCM of 809, 507, 338, 132 is 18047172.
2. How to calculate the LCM of 809, 507, 338, 132?
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 809, 507, 338, 132.
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}.