Find the LCM of 148, 923, 923, 213, 582 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 148, 923, 923, 213, 582. So, keep reading to learn more.
Given numbers are 148,923,923,213,582
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 148,923,923,213,582 is 39751764.
Find LCM of 148,923,923,213,582 with Prime Factorization
2 | 148, 923, 923, 213, 582 |
3 | 74, 923, 923, 213, 291 |
13 | 74, 923, 923, 71, 97 |
71 | 74, 71, 71, 71, 97 |
74, 1, 1, 1, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 71 x 74 x 1 x 1 x 1 x 97 = 39751764
Therefore, the lowest common multiple of 148,923,923,213,582 is 39751764.
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.
148 x 923 x 923 x 213 x 582 = 15630314101272
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.
148 : 1, 2, 4, 37, 74, 148
923 : 1, 13, 71, 923
923 : 1, 13, 71, 923
213 : 1, 3, 71, 213
582 : 1, 2, 3, 6, 97, 194, 291, 582
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,923,923,213,582, is 1.
Now, the common factors can be found like this.
148:2x 2x 37
923:13x 71
923:13x 71
213:3x 71
582:2x 3x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 71x 71 = 393198
Therefore, the value for common factors is 393198.
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 = 15630314101272/(1x393198)
LCM = 15630314101272/393198
LCM = 39751764
Thus, we can understand that the LCM of 148,923,923,213,582 is 39751764.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 148, 923, 923, 213, 582?
Answer: LCM of 148, 923, 923, 213, 582 is 39751764.
2. How to calculate the LCM of 148, 923, 923, 213, 582?
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 148, 923, 923, 213, 582.
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}.