Find the LCM of 816, 929, 720, 153 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 816, 929, 720, 153. So, keep reading to learn more.
Given numbers are 816,929,720,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,929,720,153 is 11370960.
Find LCM of 816,929,720,153 with Prime Factorization
2 | 816, 929, 720, 153 |
2 | 408, 929, 360, 153 |
2 | 204, 929, 180, 153 |
2 | 102, 929, 90, 153 |
3 | 51, 929, 45, 153 |
3 | 17, 929, 15, 51 |
17 | 17, 929, 5, 17 |
1, 929, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 17 x 1 x 929 x 5 x 1 = 11370960
Therefore, the lowest common multiple of 816,929,720,153 is 11370960.
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.
816 x 929 x 720 x 153 = 83508330240
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
929 : 1, 929
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,929,720,153, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
929:929
720:2x 2x 2x 2x 3x 3x 5
153:3x 3x 17
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 17 = 7344
Therefore, the value for common factors is 7344.
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 = 83508330240/(1x7344)
LCM = 83508330240/7344
LCM = 11370960
Thus, we can understand that the LCM of 816,929,720,153 is 11370960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 816, 929, 720, 153?
Answer: LCM of 816, 929, 720, 153 is 11370960.
2. How to calculate the LCM of 816, 929, 720, 153?
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 816, 929, 720, 153.
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}.