Find the LCM of 720, 168, 159, 921, 183 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 720, 168, 159, 921, 183. So, keep reading to learn more.
Given numbers are 720,168,159,921,183
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,168,159,921,183 is 5002356240.
Find LCM of 720,168,159,921,183 with Prime Factorization
2 | 720, 168, 159, 921, 183 |
2 | 360, 84, 159, 921, 183 |
2 | 180, 42, 159, 921, 183 |
3 | 90, 21, 159, 921, 183 |
30, 7, 53, 307, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 30 x 7 x 53 x 307 x 61 = 5002356240
Therefore, the lowest common multiple of 720,168,159,921,183 is 5002356240.
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.
720 x 168 x 159 x 921 x 183 = 3241526843520
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.
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
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
159 : 1, 3, 53, 159
921 : 1, 3, 307, 921
183 : 1, 3, 61, 183
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,168,159,921,183, is 3.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
168:2x 2x 2x 3x 7
159:3x 53
921:3x 307
183:3x 61
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 3241526843520/(3x216)
LCM = 3241526843520/648
LCM = 5002356240
Thus, we can understand that the LCM of 720,168,159,921,183 is 5002356240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 720, 168, 159, 921, 183?
Answer: LCM of 720, 168, 159, 921, 183 is 5002356240.
2. How to calculate the LCM of 720, 168, 159, 921, 183?
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 720, 168, 159, 921, 183.
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}.