Find the LCM of 539, 905, 472, 671, 949 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, 905, 472, 671, 949. So, keep reading to learn more.
Given numbers are 539,905,472,671,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,905,472,671,949 is 13328319364360.
Find LCM of 539,905,472,671,949 with Prime Factorization
11 | 539, 905, 472, 671, 949 |
49, 905, 472, 61, 949 |
Multiply the prime numbers at the bottom and the left side.
11 x 49 x 905 x 472 x 61 x 949 = 13328319364360
Therefore, the lowest common multiple of 539,905,472,671,949 is 13328319364360.
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 905 x 472 x 671 x 949 = 146611513007960
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
905 : 1, 5, 181, 905
472 : 1, 2, 4, 8, 59, 118, 236, 472
671 : 1, 11, 61, 671
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,905,472,671,949, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
905:5x 181
472:2x 2x 2x 59
671:11x 61
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 146611513007960/(1x11)
LCM = 146611513007960/11
LCM = 13328319364360
Thus, we can understand that the LCM of 539,905,472,671,949 is 13328319364360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 539, 905, 472, 671, 949?
Answer: LCM of 539, 905, 472, 671, 949 is 13328319364360.
2. How to calculate the LCM of 539, 905, 472, 671, 949?
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, 905, 472, 671, 949.
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}.