Find the LCM of 169, 923, 426, 301 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 169, 923, 426, 301. So, keep reading to learn more.
Given numbers are 169,923,426,301
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,923,426,301 is 21670194.
Find LCM of 169,923,426,301 with Prime Factorization
13 | 169, 923, 426, 301 |
71 | 13, 71, 426, 301 |
13, 1, 6, 301 |
Multiply the prime numbers at the bottom and the left side.
13 x 71 x 13 x 1 x 6 x 301 = 21670194
Therefore, the lowest common multiple of 169,923,426,301 is 21670194.
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.
169 x 923 x 426 x 301 = 20001589062
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.
169 : 1, 13, 169
923 : 1, 13, 71, 923
426 : 1, 2, 3, 6, 71, 142, 213, 426
301 : 1, 7, 43, 301
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,923,426,301, is 1.
Now, the common factors can be found like this.
169:13x 13
923:13x 71
426:2x 3x 71
301:7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 71 = 923
Therefore, the value for common factors is 923.
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 = 20001589062/(1x923)
LCM = 20001589062/923
LCM = 21670194
Thus, we can understand that the LCM of 169,923,426,301 is 21670194.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 923, 426, 301?
Answer: LCM of 169, 923, 426, 301 is 21670194.
2. How to calculate the LCM of 169, 923, 426, 301?
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 169, 923, 426, 301.
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}.