Find the LCM of 923, 726, 967, 338 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 923, 726, 967, 338. So, keep reading to learn more.
Given numbers are 923,726,967,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,726,967,338 is 8423801958.
Find LCM of 923,726,967,338 with Prime Factorization
2 | 923, 726, 967, 338 |
13 | 923, 363, 967, 169 |
71, 363, 967, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 71 x 363 x 967 x 13 = 8423801958
Therefore, the lowest common multiple of 923,726,967,338 is 8423801958.
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.
923 x 726 x 967 x 338 = 219018850908
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.
923 : 1, 13, 71, 923
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
967 : 1, 967
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,726,967,338, is 1.
Now, the common factors can be found like this.
923:13x 71
726:2x 3x 11x 11
967:967
338:2x 13x 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 13 = 26
Therefore, the value for common factors is 26.
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 = 219018850908/(1x26)
LCM = 219018850908/26
LCM = 8423801958
Thus, we can understand that the LCM of 923,726,967,338 is 8423801958.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 923, 726, 967, 338?
Answer: LCM of 923, 726, 967, 338 is 8423801958.
2. How to calculate the LCM of 923, 726, 967, 338?
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 923, 726, 967, 338.
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}.