Find the LCM of 824, 852, 389, 288, 171 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 824, 852, 389, 288, 171. So, keep reading to learn more.
Given numbers are 824,852,389,288,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,852,389,288,171 is 15566510304.
Find LCM of 824,852,389,288,171 with Prime Factorization
2 | 824, 852, 389, 288, 171 |
2 | 412, 426, 389, 144, 171 |
2 | 206, 213, 389, 72, 171 |
3 | 103, 213, 389, 36, 171 |
3 | 103, 71, 389, 12, 57 |
103, 71, 389, 4, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 103 x 71 x 389 x 4 x 19 = 15566510304
Therefore, the lowest common multiple of 824,852,389,288,171 is 15566510304.
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.
824 x 852 x 389 x 288 x 171 = 13449464902656
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
389 : 1, 389
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,852,389,288,171, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
852:2x 2x 3x 71
389:389
288:2x 2x 2x 2x 2x 3x 3
171:3x 3x 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 2x 2x 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 13449464902656/(1x864)
LCM = 13449464902656/864
LCM = 15566510304
Thus, we can understand that the LCM of 824,852,389,288,171 is 15566510304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 824, 852, 389, 288, 171?
Answer: LCM of 824, 852, 389, 288, 171 is 15566510304.
2. How to calculate the LCM of 824, 852, 389, 288, 171?
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 824, 852, 389, 288, 171.
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}.