Find the LCM of 925, 897, 621, 213, 228 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 925, 897, 621, 213, 228. So, keep reading to learn more.
Given numbers are 925,897,621,213,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,897,621,213,228 is 40294764900.
Find LCM of 925,897,621,213,228 with Prime Factorization
3 | 925, 897, 621, 213, 228 |
23 | 925, 299, 207, 71, 76 |
925, 13, 9, 71, 76 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 925 x 13 x 9 x 71 x 76 = 40294764900
Therefore, the lowest common multiple of 925,897,621,213,228 is 40294764900.
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.
925 x 897 x 621 x 213 x 228 = 25023049002900
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.
925 : 1, 5, 25, 37, 185, 925
897 : 1, 3, 13, 23, 39, 69, 299, 897
621 : 1, 3, 9, 23, 27, 69, 207, 621
213 : 1, 3, 71, 213
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,897,621,213,228, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
897:3x 13x 23
621:3x 3x 3x 23
213:3x 71
228:2x 2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 23 = 621
Therefore, the value for common factors is 621.
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 = 25023049002900/(1x621)
LCM = 25023049002900/621
LCM = 40294764900
Thus, we can understand that the LCM of 925,897,621,213,228 is 40294764900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 925, 897, 621, 213, 228?
Answer: LCM of 925, 897, 621, 213, 228 is 40294764900.
2. How to calculate the LCM of 925, 897, 621, 213, 228?
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 925, 897, 621, 213, 228.
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}.