Find the LCM of 712, 519, 817, 722, 208 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 712, 519, 817, 722, 208. So, keep reading to learn more.
Given numbers are 712,519,817,722,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,519,817,722,208 is 149140761744.
Find LCM of 712,519,817,722,208 with Prime Factorization
2 | 712, 519, 817, 722, 208 |
2 | 356, 519, 817, 361, 104 |
2 | 178, 519, 817, 361, 52 |
19 | 89, 519, 817, 361, 26 |
89, 519, 43, 19, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 89 x 519 x 43 x 19 x 26 = 149140761744
Therefore, the lowest common multiple of 712,519,817,722,208 is 149140761744.
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.
712 x 519 x 817 x 722 x 208 = 45338791570176
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
519 : 1, 3, 173, 519
817 : 1, 19, 43, 817
722 : 1, 2, 19, 38, 361, 722
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,519,817,722,208, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
519:3x 173
817:19x 43
722:2x 19x 19
208:2x 2x 2x 2x 13
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 2x 19 = 304
Therefore, the value for common factors is 304.
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 = 45338791570176/(1x304)
LCM = 45338791570176/304
LCM = 149140761744
Thus, we can understand that the LCM of 712,519,817,722,208 is 149140761744.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 712, 519, 817, 722, 208?
Answer: LCM of 712, 519, 817, 722, 208 is 149140761744.
2. How to calculate the LCM of 712, 519, 817, 722, 208?
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 712, 519, 817, 722, 208.
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}.