LCM of 397, 962, 888, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 962, 888, 923 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 397, 962, 888, 923. So, keep reading to learn more.
Given numbers are 397,962,888,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,962,888,923 is 325390728.
Find LCM of 397,962,888,923 with Prime Factorization
| 2 | 397, 962, 888, 923 |
| 13 | 397, 481, 444, 923 |
| 37 | 397, 37, 444, 71 |
| 397, 1, 12, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 37 x 397 x 1 x 12 x 71 = 325390728
Therefore, the lowest common multiple of 397,962,888,923 is 325390728.
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.
397 x 962 x 888 x 923 = 313025880336
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.
397 : 1, 397
962 : 1, 2, 13, 26, 37, 74, 481, 962
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,962,888,923, is 1.
Now, the common factors can be found like this.
397:397
962:2x 13x 37
888:2x 2x 2x 3x 37
923:13x 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 37 = 962
Therefore, the value for common factors is 962.
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 = 313025880336/(1x962)
LCM = 313025880336/962
LCM = 325390728
Thus, we can understand that the LCM of 397,962,888,923 is 325390728.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 397, 962, 888, 923
1. What is the LCM of 397, 962, 888, 923?
Answer: LCM of 397, 962, 888, 923 is 325390728.
2. How to calculate the LCM of 397, 962, 888, 923?
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 397, 962, 888, 923.
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}.