Find the LCM of 174, 958, 958, 668 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, 958, 958, 668. So, keep reading to learn more.
Given numbers are 174,958,958,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,958,958,668 is 27837564.
Find LCM of 174,958,958,668 with Prime Factorization
2 | 174, 958, 958, 668 |
479 | 87, 479, 479, 334 |
87, 1, 1, 334 |
Multiply the prime numbers at the bottom and the left side.
2 x 479 x 87 x 1 x 1 x 334 = 27837564
Therefore, the lowest common multiple of 174,958,958,668 is 27837564.
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 958 x 958 x 668 = 106673545248
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
958 : 1, 2, 479, 958
958 : 1, 2, 479, 958
668 : 1, 2, 4, 167, 334, 668
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,958,958,668, is 2.
Now, the common factors can be found like this.
174:2x 3x 29
958:2x 479
958:2x 479
668:2x 2x 167
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 479 = 1916
Therefore, the value for common factors is 1916.
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 = 106673545248/(2x1916)
LCM = 106673545248/3832
LCM = 27837564
Thus, we can understand that the LCM of 174,958,958,668 is 27837564.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 174, 958, 958, 668?
Answer: LCM of 174, 958, 958, 668 is 27837564.
2. How to calculate the LCM of 174, 958, 958, 668?
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, 958, 958, 668.
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}.