LCM of 852, 225, 534, 825, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 225, 534, 825, 494 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 852, 225, 534, 825, 494. So, keep reading to learn more.
Given numbers are 852,225,534,825,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,225,534,825,494 is 15451850700.
Find LCM of 852,225,534,825,494 with Prime Factorization
| 2 | 852, 225, 534, 825, 494 |
| 3 | 426, 225, 267, 825, 247 |
| 5 | 142, 75, 89, 275, 247 |
| 5 | 142, 15, 89, 55, 247 |
| 142, 3, 89, 11, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 142 x 3 x 89 x 11 x 247 = 15451850700
Therefore, the lowest common multiple of 852,225,534,825,494 is 15451850700.
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.
852 x 225 x 534 x 825 x 494 = 41719996890000
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
534 : 1, 2, 3, 6, 89, 178, 267, 534
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,225,534,825,494, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
225:3x 3x 5x 5
534:2x 3x 89
825:3x 5x 5x 11
494:2x 13x 19
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 3x 3x 5x 5 = 2700
Therefore, the value for common factors is 2700.
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 = 41719996890000/(1x2700)
LCM = 41719996890000/2700
LCM = 15451850700
Thus, we can understand that the LCM of 852,225,534,825,494 is 15451850700.
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FAQs on LCM of 852, 225, 534, 825, 494
1. What is the LCM of 852, 225, 534, 825, 494?
Answer: LCM of 852, 225, 534, 825, 494 is 15451850700.
2. How to calculate the LCM of 852, 225, 534, 825, 494?
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 852, 225, 534, 825, 494.
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}.