Find the LCM of 341, 397, 539, 554, 245 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 341, 397, 539, 554, 245. So, keep reading to learn more.
Given numbers are 341,397,539,554,245
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,397,539,554,245 is 18374720210.
Find LCM of 341,397,539,554,245 with Prime Factorization
7 | 341, 397, 539, 554, 245 |
7 | 341, 397, 77, 554, 35 |
11 | 341, 397, 11, 554, 5 |
31, 397, 1, 554, 5 |
Multiply the prime numbers at the bottom and the left side.
7 x 7 x 11 x 31 x 397 x 1 x 554 x 5 = 18374720210
Therefore, the lowest common multiple of 341,397,539,554,245 is 18374720210.
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.
341 x 397 x 539 x 554 x 245 = 9903974193190
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.
341 : 1, 11, 31, 341
397 : 1, 397
539 : 1, 7, 11, 49, 77, 539
554 : 1, 2, 277, 554
245 : 1, 5, 7, 35, 49, 245
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,397,539,554,245, is 1.
Now, the common factors can be found like this.
341:11x 31
397:397
539:7x 7x 11
554:2x 277
245:5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 11 = 539
Therefore, the value for common factors is 539.
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 = 9903974193190/(1x539)
LCM = 9903974193190/539
LCM = 18374720210
Thus, we can understand that the LCM of 341,397,539,554,245 is 18374720210.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 341, 397, 539, 554, 245?
Answer: LCM of 341, 397, 539, 554, 245 is 18374720210.
2. How to calculate the LCM of 341, 397, 539, 554, 245?
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 341, 397, 539, 554, 245.
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}.