Find the LCM of 329, 683, 683, 649, 466 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 329, 683, 683, 649, 466. So, keep reading to learn more.
Given numbers are 329,683,683,649,466
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,683,683,649,466 is 67959036838.
Find LCM of 329,683,683,649,466 with Prime Factorization
683 | 329, 683, 683, 649, 466 |
329, 1, 1, 649, 466 |
Multiply the prime numbers at the bottom and the left side.
683 x 329 x 1 x 1 x 649 x 466 = 67959036838
Therefore, the lowest common multiple of 329,683,683,649,466 is 67959036838.
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.
329 x 683 x 683 x 649 x 466 = 46416022160354
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.
329 : 1, 7, 47, 329
683 : 1, 683
683 : 1, 683
649 : 1, 11, 59, 649
466 : 1, 2, 233, 466
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,683,683,649,466, is 1.
Now, the common factors can be found like this.
329:7x 47
683:683
683:683
649:11x 59
466:2x 233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
683 = 683
Therefore, the value for common factors is 683.
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 = 46416022160354/(1x683)
LCM = 46416022160354/683
LCM = 67959036838
Thus, we can understand that the LCM of 329,683,683,649,466 is 67959036838.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 329, 683, 683, 649, 466?
Answer: LCM of 329, 683, 683, 649, 466 is 67959036838.
2. How to calculate the LCM of 329, 683, 683, 649, 466?
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 329, 683, 683, 649, 466.
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}.