Find the LCM of 455, 923, 548, 668, 810 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, 923, 548, 668, 810. So, keep reading to learn more.
Given numbers are 455,923,548,668,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,923,548,668,810 is 239470374780.
Find LCM of 455,923,548,668,810 with Prime Factorization
2 | 455, 923, 548, 668, 810 |
2 | 455, 923, 274, 334, 405 |
5 | 455, 923, 137, 167, 405 |
13 | 91, 923, 137, 167, 81 |
7, 71, 137, 167, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 7 x 71 x 137 x 167 x 81 = 239470374780
Therefore, the lowest common multiple of 455,923,548,668,810 is 239470374780.
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 923 x 548 x 668 x 810 = 124524594885600
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
923 : 1, 13, 71, 923
548 : 1, 2, 4, 137, 274, 548
668 : 1, 2, 4, 167, 334, 668
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,923,548,668,810, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
923:13x 71
548:2x 2x 137
668:2x 2x 167
810:2x 3x 3x 3x 3x 5
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 5x 13 = 520
Therefore, the value for common factors is 520.
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 = 124524594885600/(1x520)
LCM = 124524594885600/520
LCM = 239470374780
Thus, we can understand that the LCM of 455,923,548,668,810 is 239470374780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 455, 923, 548, 668, 810?
Answer: LCM of 455, 923, 548, 668, 810 is 239470374780.
2. How to calculate the LCM of 455, 923, 548, 668, 810?
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, 923, 548, 668, 810.
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}.