Find the LCM of 815, 710, 864, 166, 108 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 815, 710, 864, 166, 108. So, keep reading to learn more.
Given numbers are 815,710,864,166,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,710,864,166,108 is 4149614880.
Find LCM of 815,710,864,166,108 with Prime Factorization
2 | 815, 710, 864, 166, 108 |
2 | 815, 355, 432, 83, 54 |
3 | 815, 355, 216, 83, 27 |
3 | 815, 355, 72, 83, 9 |
3 | 815, 355, 24, 83, 3 |
5 | 815, 355, 8, 83, 1 |
163, 71, 8, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 163 x 71 x 8 x 83 x 1 = 4149614880
Therefore, the lowest common multiple of 815,710,864,166,108 is 4149614880.
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.
815 x 710 x 864 x 166 x 108 = 8963168140800
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.
815 : 1, 5, 163, 815
710 : 1, 2, 5, 10, 71, 142, 355, 710
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
166 : 1, 2, 83, 166
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,710,864,166,108, is 1.
Now, the common factors can be found like this.
815:5x 163
710:2x 5x 71
864:2x 2x 2x 2x 2x 3x 3x 3
166:2x 83
108:2x 2x 3x 3x 3
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 3x 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 8963168140800/(1x2160)
LCM = 8963168140800/2160
LCM = 4149614880
Thus, we can understand that the LCM of 815,710,864,166,108 is 4149614880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 815, 710, 864, 166, 108?
Answer: LCM of 815, 710, 864, 166, 108 is 4149614880.
2. How to calculate the LCM of 815, 710, 864, 166, 108?
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 815, 710, 864, 166, 108.
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}.