Find the LCM of 401, 182, 922, 925, 910 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 401, 182, 922, 925, 910. So, keep reading to learn more.
Given numbers are 401,182,922,925,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,182,922,925,910 is 31121349350.
Find LCM of 401,182,922,925,910 with Prime Factorization
2 | 401, 182, 922, 925, 910 |
5 | 401, 91, 461, 925, 455 |
7 | 401, 91, 461, 185, 91 |
13 | 401, 13, 461, 185, 13 |
401, 1, 461, 185, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 401 x 1 x 461 x 185 x 1 = 31121349350
Therefore, the lowest common multiple of 401,182,922,925,910 is 31121349350.
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.
401 x 182 x 922 x 925 x 910 = 56640855817000
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.
401 : 1, 401
182 : 1, 2, 7, 13, 14, 26, 91, 182
922 : 1, 2, 461, 922
925 : 1, 5, 25, 37, 185, 925
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,182,922,925,910, is 1.
Now, the common factors can be found like this.
401:401
182:2x 7x 13
922:2x 461
925:5x 5x 37
910:2x 5x 7x 13
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 5x 7x 13 = 1820
Therefore, the value for common factors is 1820.
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 = 56640855817000/(1x1820)
LCM = 56640855817000/1820
LCM = 31121349350
Thus, we can understand that the LCM of 401,182,922,925,910 is 31121349350.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 401, 182, 922, 925, 910?
Answer: LCM of 401, 182, 922, 925, 910 is 31121349350.
2. How to calculate the LCM of 401, 182, 922, 925, 910?
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 401, 182, 922, 925, 910.
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}.