Find the LCM of 228, 417, 303, 153, 170 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 228, 417, 303, 153, 170. So, keep reading to learn more.
Given numbers are 228,417,303,153,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 228,417,303,153,170 is 816227460.
Find LCM of 228,417,303,153,170 with Prime Factorization
2 | 228, 417, 303, 153, 170 |
3 | 114, 417, 303, 153, 85 |
17 | 38, 139, 101, 51, 85 |
38, 139, 101, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 38 x 139 x 101 x 3 x 5 = 816227460
Therefore, the lowest common multiple of 228,417,303,153,170 is 816227460.
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.
228 x 417 x 303 x 153 x 170 = 749296808280
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.
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
417 : 1, 3, 139, 417
303 : 1, 3, 101, 303
153 : 1, 3, 9, 17, 51, 153
170 : 1, 2, 5, 10, 17, 34, 85, 170
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,417,303,153,170, is 1.
Now, the common factors can be found like this.
228:2x 2x 3x 19
417:3x 139
303:3x 101
153:3x 3x 17
170:2x 5x 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 3x 3x 3x 17 = 918
Therefore, the value for common factors is 918.
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 = 749296808280/(1x918)
LCM = 749296808280/918
LCM = 816227460
Thus, we can understand that the LCM of 228,417,303,153,170 is 816227460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 228, 417, 303, 153, 170?
Answer: LCM of 228, 417, 303, 153, 170 is 816227460.
2. How to calculate the LCM of 228, 417, 303, 153, 170?
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 228, 417, 303, 153, 170.
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}.