Find the LCM of 338, 754, 727, 957, 829 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 338, 754, 727, 957, 829. So, keep reading to learn more.
Given numbers are 338,754,727,957,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,754,727,957,829 is 194947459278.
Find LCM of 338,754,727,957,829 with Prime Factorization
2 | 338, 754, 727, 957, 829 |
13 | 169, 377, 727, 957, 829 |
29 | 13, 29, 727, 957, 829 |
13, 1, 727, 33, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 29 x 13 x 1 x 727 x 33 x 829 = 194947459278
Therefore, the lowest common multiple of 338,754,727,957,829 is 194947459278.
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.
338 x 754 x 727 x 957 x 829 = 146990384295612
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.
338 : 1, 2, 13, 26, 169, 338
754 : 1, 2, 13, 26, 29, 58, 377, 754
727 : 1, 727
957 : 1, 3, 11, 29, 33, 87, 319, 957
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,754,727,957,829, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
754:2x 13x 29
727:727
957:3x 11x 29
829:829
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 29 = 754
Therefore, the value for common factors is 754.
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 = 146990384295612/(1x754)
LCM = 146990384295612/754
LCM = 194947459278
Thus, we can understand that the LCM of 338,754,727,957,829 is 194947459278.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 754, 727, 957, 829?
Answer: LCM of 338, 754, 727, 957, 829 is 194947459278.
2. How to calculate the LCM of 338, 754, 727, 957, 829?
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 338, 754, 727, 957, 829.
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}.