Find the LCM of 957, 174, 174, 380, 378 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 957, 174, 174, 380, 378. So, keep reading to learn more.
Given numbers are 957,174,174,380,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,174,174,380,378 is 22910580.
Find LCM of 957,174,174,380,378 with Prime Factorization
2 | 957, 174, 174, 380, 378 |
3 | 957, 87, 87, 190, 189 |
29 | 319, 29, 29, 190, 63 |
11, 1, 1, 190, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 11 x 1 x 1 x 190 x 63 = 22910580
Therefore, the lowest common multiple of 957,174,174,380,378 is 22910580.
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.
957 x 174 x 174 x 380 x 378 = 4161844320480
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
174 : 1, 2, 3, 6, 29, 58, 87, 174
174 : 1, 2, 3, 6, 29, 58, 87, 174
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,174,174,380,378, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
174:2x 3x 29
174:2x 3x 29
380:2x 2x 5x 19
378:2x 3x 3x 3x 7
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 3x 29x 29 = 181656
Therefore, the value for common factors is 181656.
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 = 4161844320480/(1x181656)
LCM = 4161844320480/181656
LCM = 22910580
Thus, we can understand that the LCM of 957,174,174,380,378 is 22910580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 174, 174, 380, 378?
Answer: LCM of 957, 174, 174, 380, 378 is 22910580.
2. How to calculate the LCM of 957, 174, 174, 380, 378?
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 957, 174, 174, 380, 378.
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}.