LCM of 825, 493, 418, 138, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 493, 418, 138, 460 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 825, 493, 418, 138, 460. So, keep reading to learn more.
Given numbers are 825,493,418,138,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,493,418,138,460 is 710955300.
Find LCM of 825,493,418,138,460 with Prime Factorization
| 2 | 825, 493, 418, 138, 460 |
| 3 | 825, 493, 209, 69, 230 |
| 5 | 275, 493, 209, 23, 230 |
| 11 | 55, 493, 209, 23, 46 |
| 23 | 5, 493, 19, 23, 46 |
| 5, 493, 19, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 23 x 5 x 493 x 19 x 1 x 2 = 710955300
Therefore, the lowest common multiple of 825,493,418,138,460 is 710955300.
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.
825 x 493 x 418 x 138 x 460 = 10792301454000
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
493 : 1, 17, 29, 493
418 : 1, 2, 11, 19, 22, 38, 209, 418
138 : 1, 2, 3, 6, 23, 46, 69, 138
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,493,418,138,460, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
493:17x 29
418:2x 11x 19
138:2x 3x 23
460:2x 2x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 5x 11x 23 = 15180
Therefore, the value for common factors is 15180.
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 = 10792301454000/(1x15180)
LCM = 10792301454000/15180
LCM = 710955300
Thus, we can understand that the LCM of 825,493,418,138,460 is 710955300.
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FAQs on LCM of 825, 493, 418, 138, 460
1. What is the LCM of 825, 493, 418, 138, 460?
Answer: LCM of 825, 493, 418, 138, 460 is 710955300.
2. How to calculate the LCM of 825, 493, 418, 138, 460?
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 825, 493, 418, 138, 460.
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}.