Find the LCM of 897, 195, 502, 194, 286 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 897, 195, 502, 194, 286. So, keep reading to learn more.
Given numbers are 897,195,502,194,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,195,502,194,286 is 2402318490.
Find LCM of 897,195,502,194,286 with Prime Factorization
2 | 897, 195, 502, 194, 286 |
3 | 897, 195, 251, 97, 143 |
13 | 299, 65, 251, 97, 143 |
23, 5, 251, 97, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 5 x 251 x 97 x 11 = 2402318490
Therefore, the lowest common multiple of 897,195,502,194,286 is 2402318490.
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.
897 x 195 x 502 x 194 x 286 = 4871901897720
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.
897 : 1, 3, 13, 23, 39, 69, 299, 897
195 : 1, 3, 5, 13, 15, 39, 65, 195
502 : 1, 2, 251, 502
194 : 1, 2, 97, 194
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,195,502,194,286, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
195:3x 5x 13
502:2x 251
194:2x 97
286:2x 11x 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 3x 13x 13 = 2028
Therefore, the value for common factors is 2028.
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 = 4871901897720/(1x2028)
LCM = 4871901897720/2028
LCM = 2402318490
Thus, we can understand that the LCM of 897,195,502,194,286 is 2402318490.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 897, 195, 502, 194, 286?
Answer: LCM of 897, 195, 502, 194, 286 is 2402318490.
2. How to calculate the LCM of 897, 195, 502, 194, 286?
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 897, 195, 502, 194, 286.
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}.