Find the LCM of 174, 356, 668, 751, 878 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 174, 356, 668, 751, 878. So, keep reading to learn more.
Given numbers are 174,356,668,751,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,356,668,751,878 is 1705258327236.
Find LCM of 174,356,668,751,878 with Prime Factorization
2 | 174, 356, 668, 751, 878 |
2 | 87, 178, 334, 751, 439 |
87, 89, 167, 751, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 87 x 89 x 167 x 751 x 439 = 1705258327236
Therefore, the lowest common multiple of 174,356,668,751,878 is 1705258327236.
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.
174 x 356 x 668 x 751 x 878 = 27284133235776
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
356 : 1, 2, 4, 89, 178, 356
668 : 1, 2, 4, 167, 334, 668
751 : 1, 751
878 : 1, 2, 439, 878
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,356,668,751,878, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
356:2x 2x 89
668:2x 2x 167
751:751
878:2x 439
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 2 = 16
Therefore, the value for common factors is 16.
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 = 27284133235776/(1x16)
LCM = 27284133235776/16
LCM = 1705258327236
Thus, we can understand that the LCM of 174,356,668,751,878 is 1705258327236.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 174, 356, 668, 751, 878?
Answer: LCM of 174, 356, 668, 751, 878 is 1705258327236.
2. How to calculate the LCM of 174, 356, 668, 751, 878?
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 174, 356, 668, 751, 878.
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}.