Find the LCM of 339, 108, 438, 737, 242 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 339, 108, 438, 737, 242. So, keep reading to learn more.
Given numbers are 339,108,438,737,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,108,438,737,242 is 7222461444.
Find LCM of 339,108,438,737,242 with Prime Factorization
2 | 339, 108, 438, 737, 242 |
3 | 339, 54, 219, 737, 121 |
11 | 113, 18, 73, 737, 121 |
113, 18, 73, 67, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 113 x 18 x 73 x 67 x 11 = 7222461444
Therefore, the lowest common multiple of 339,108,438,737,242 is 7222461444.
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.
339 x 108 x 438 x 737 x 242 = 2860094731824
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.
339 : 1, 3, 113, 339
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
438 : 1, 2, 3, 6, 73, 146, 219, 438
737 : 1, 11, 67, 737
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,108,438,737,242, is 1.
Now, the common factors can be found like this.
339:3x 113
108:2x 2x 3x 3x 3
438:2x 3x 73
737:11x 67
242:2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 2860094731824/(1x396)
LCM = 2860094731824/396
LCM = 7222461444
Thus, we can understand that the LCM of 339,108,438,737,242 is 7222461444.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 339, 108, 438, 737, 242?
Answer: LCM of 339, 108, 438, 737, 242 is 7222461444.
2. How to calculate the LCM of 339, 108, 438, 737, 242?
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 339, 108, 438, 737, 242.
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}.