Find the LCM of 455, 405, 734, 975 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 455, 405, 734, 975. So, keep reading to learn more.
Given numbers are 455,405,734,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,405,734,975 is 135257850.
Find LCM of 455,405,734,975 with Prime Factorization
3 | 455, 405, 734, 975 |
5 | 455, 135, 734, 325 |
13 | 91, 27, 734, 65 |
7, 27, 734, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 7 x 27 x 734 x 5 = 135257850
Therefore, the lowest common multiple of 455,405,734,975 is 135257850.
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.
455 x 405 x 734 x 975 = 131876403750
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
734 : 1, 2, 367, 734
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,405,734,975, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
405:3x 3x 3x 3x 5
734:2x 367
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 13 = 975
Therefore, the value for common factors is 975.
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 = 131876403750/(1x975)
LCM = 131876403750/975
LCM = 135257850
Thus, we can understand that the LCM of 455,405,734,975 is 135257850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 455, 405, 734, 975?
Answer: LCM of 455, 405, 734, 975 is 135257850.
2. How to calculate the LCM of 455, 405, 734, 975?
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 455, 405, 734, 975.
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}.