Find the LCM of 10, 81, 65, 312 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 10, 81, 65, 312. So, keep reading to learn more.
Given numbers are 10,81,65,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 10,81,65,312 is 42120.
Find LCM of 10,81,65,312 with Prime Factorization
2 | 10, 81, 65, 312 |
3 | 5, 81, 65, 156 |
5 | 5, 27, 65, 52 |
13 | 1, 27, 13, 52 |
1, 27, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 1 x 27 x 1 x 4 = 42120
Therefore, the lowest common multiple of 10,81,65,312 is 42120.
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.
10 x 81 x 65 x 312 = 16426800
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.
10 : 1, 2, 5, 10
81 : 1, 3, 9, 27, 81
65 : 1, 5, 13, 65
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 10,81,65,312, is 1.
Now, the common factors can be found like this.
10:2x 5
81:3x 3x 3x 3
65:5x 13
312:2x 2x 2x 3x 13
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 5x 13 = 390
Therefore, the value for common factors is 390.
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 = 16426800/(1x390)
LCM = 16426800/390
LCM = 42120
Thus, we can understand that the LCM of 10,81,65,312 is 42120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 10, 81, 65, 312?
Answer: LCM of 10, 81, 65, 312 is 42120.
2. How to calculate the LCM of 10, 81, 65, 312?
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 10, 81, 65, 312.
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}.