Find the LCM of 927, 610, 174, 945, 470 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 927, 610, 174, 945, 470. So, keep reading to learn more.
Given numbers are 927,610,174,945,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,610,174,945,470 is 16185447810.
Find LCM of 927,610,174,945,470 with Prime Factorization
2 | 927, 610, 174, 945, 470 |
3 | 927, 305, 87, 945, 235 |
3 | 309, 305, 29, 315, 235 |
5 | 103, 305, 29, 105, 235 |
103, 61, 29, 21, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 103 x 61 x 29 x 21 x 47 = 16185447810
Therefore, the lowest common multiple of 927,610,174,945,470 is 16185447810.
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.
927 x 610 x 174 x 945 x 470 = 43700709087000
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.
927 : 1, 3, 9, 103, 309, 927
610 : 1, 2, 5, 10, 61, 122, 305, 610
174 : 1, 2, 3, 6, 29, 58, 87, 174
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,610,174,945,470, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
610:2x 5x 61
174:2x 3x 29
945:3x 3x 3x 5x 7
470:2x 5x 47
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 3x 3x 3x 5x 5 = 2700
Therefore, the value for common factors is 2700.
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 = 43700709087000/(1x2700)
LCM = 43700709087000/2700
LCM = 16185447810
Thus, we can understand that the LCM of 927,610,174,945,470 is 16185447810.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 927, 610, 174, 945, 470?
Answer: LCM of 927, 610, 174, 945, 470 is 16185447810.
2. How to calculate the LCM of 927, 610, 174, 945, 470?
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 927, 610, 174, 945, 470.
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}.