Find the LCM of 195, 962, 871, 898, 497 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 195, 962, 871, 898, 497. So, keep reading to learn more.
Given numbers are 195,962,871,898,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 195,962,871,898,497 is 215746551930.
Find LCM of 195,962,871,898,497 with Prime Factorization
2 | 195, 962, 871, 898, 497 |
13 | 195, 481, 871, 449, 497 |
15, 37, 67, 449, 497 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 15 x 37 x 67 x 449 x 497 = 215746551930
Therefore, the lowest common multiple of 195,962,871,898,497 is 215746551930.
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.
195 x 962 x 871 x 898 x 497 = 72922334552340
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.
195 : 1, 3, 5, 13, 15, 39, 65, 195
962 : 1, 2, 13, 26, 37, 74, 481, 962
871 : 1, 13, 67, 871
898 : 1, 2, 449, 898
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,962,871,898,497, is 1.
Now, the common factors can be found like this.
195:3x 5x 13
962:2x 13x 37
871:13x 67
898:2x 449
497:7x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 72922334552340/(1x338)
LCM = 72922334552340/338
LCM = 215746551930
Thus, we can understand that the LCM of 195,962,871,898,497 is 215746551930.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 195, 962, 871, 898, 497?
Answer: LCM of 195, 962, 871, 898, 497 is 215746551930.
2. How to calculate the LCM of 195, 962, 871, 898, 497?
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 195, 962, 871, 898, 497.
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}.