Find the LCM of 539, 748, 713, 403, 344 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 539, 748, 713, 403, 344. So, keep reading to learn more.
Given numbers are 539,748,713,403,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,748,713,403,344 is 29216555368.
Find LCM of 539,748,713,403,344 with Prime Factorization
2 | 539, 748, 713, 403, 344 |
2 | 539, 374, 713, 403, 172 |
11 | 539, 187, 713, 403, 86 |
31 | 49, 17, 713, 403, 86 |
49, 17, 23, 13, 86 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 31 x 49 x 17 x 23 x 13 x 86 = 29216555368
Therefore, the lowest common multiple of 539,748,713,403,344 is 29216555368.
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.
539 x 748 x 713 x 403 x 344 = 39851381521952
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.
539 : 1, 7, 11, 49, 77, 539
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
713 : 1, 23, 31, 713
403 : 1, 13, 31, 403
344 : 1, 2, 4, 8, 43, 86, 172, 344
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,748,713,403,344, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
748:2x 2x 11x 17
713:23x 31
403:13x 31
344:2x 2x 2x 43
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 11x 31 = 1364
Therefore, the value for common factors is 1364.
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 = 39851381521952/(1x1364)
LCM = 39851381521952/1364
LCM = 29216555368
Thus, we can understand that the LCM of 539,748,713,403,344 is 29216555368.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 539, 748, 713, 403, 344?
Answer: LCM of 539, 748, 713, 403, 344 is 29216555368.
2. How to calculate the LCM of 539, 748, 713, 403, 344?
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 539, 748, 713, 403, 344.
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}.