Find the LCM of 338, 743, 976, 305 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, 743, 976, 305. So, keep reading to learn more.
Given numbers are 338,743,976,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,743,976,305 is 612766960.
Find LCM of 338,743,976,305 with Prime Factorization
2 | 338, 743, 976, 305 |
61 | 169, 743, 488, 305 |
169, 743, 8, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 61 x 169 x 743 x 8 x 5 = 612766960
Therefore, the lowest common multiple of 338,743,976,305 is 612766960.
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 743 x 976 x 305 = 74757569120
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
743 : 1, 743
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,743,976,305, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
743:743
976:2x 2x 2x 2x 61
305:5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 61 = 122
Therefore, the value for common factors is 122.
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 = 74757569120/(1x122)
LCM = 74757569120/122
LCM = 612766960
Thus, we can understand that the LCM of 338,743,976,305 is 612766960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 743, 976, 305?
Answer: LCM of 338, 743, 976, 305 is 612766960.
2. How to calculate the LCM of 338, 743, 976, 305?
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, 743, 976, 305.
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}.