Find the LCM of 417, 838, 314, 987, 683 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 417, 838, 314, 987, 683. So, keep reading to learn more.
Given numbers are 417,838,314,987,683
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,838,314,987,683 is 12328105084554.
Find LCM of 417,838,314,987,683 with Prime Factorization
2 | 417, 838, 314, 987, 683 |
3 | 417, 419, 157, 987, 683 |
139, 419, 157, 329, 683 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 419 x 157 x 329 x 683 = 12328105084554
Therefore, the lowest common multiple of 417,838,314,987,683 is 12328105084554.
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.
417 x 838 x 314 x 987 x 683 = 73968630507324
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.
417 : 1, 3, 139, 417
838 : 1, 2, 419, 838
314 : 1, 2, 157, 314
987 : 1, 3, 7, 21, 47, 141, 329, 987
683 : 1, 683
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,838,314,987,683, is 1.
Now, the common factors can be found like this.
417:3x 139
838:2x 419
314:2x 157
987:3x 7x 47
683:683
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 73968630507324/(1x6)
LCM = 73968630507324/6
LCM = 12328105084554
Thus, we can understand that the LCM of 417,838,314,987,683 is 12328105084554.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 417, 838, 314, 987, 683?
Answer: LCM of 417, 838, 314, 987, 683 is 12328105084554.
2. How to calculate the LCM of 417, 838, 314, 987, 683?
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 417, 838, 314, 987, 683.
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}.