Find the LCM of 517, 832, 907, 104, 733 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 517, 832, 907, 104, 733. So, keep reading to learn more.
Given numbers are 517,832,907,104,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,832,907,104,733 is 285973065664.
Find LCM of 517,832,907,104,733 with Prime Factorization
2 | 517, 832, 907, 104, 733 |
2 | 517, 416, 907, 52, 733 |
2 | 517, 208, 907, 26, 733 |
13 | 517, 104, 907, 13, 733 |
517, 8, 907, 1, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 517 x 8 x 907 x 1 x 733 = 285973065664
Therefore, the lowest common multiple of 517,832,907,104,733 is 285973065664.
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.
517 x 832 x 907 x 104 x 733 = 29741198829056
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.
517 : 1, 11, 47, 517
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
907 : 1, 907
104 : 1, 2, 4, 8, 13, 26, 52, 104
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,832,907,104,733, is 1.
Now, the common factors can be found like this.
517:11x 47
832:2x 2x 2x 2x 2x 2x 13
907:907
104:2x 2x 2x 13
733:733
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 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 29741198829056/(1x104)
LCM = 29741198829056/104
LCM = 285973065664
Thus, we can understand that the LCM of 517,832,907,104,733 is 285973065664.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 517, 832, 907, 104, 733?
Answer: LCM of 517, 832, 907, 104, 733 is 285973065664.
2. How to calculate the LCM of 517, 832, 907, 104, 733?
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 517, 832, 907, 104, 733.
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}.