Find the LCM of 328, 611, 841, 241, 507 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 328, 611, 841, 241, 507. So, keep reading to learn more.
Given numbers are 328,611,841,241,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,611,841,241,507 is 1584136860072.
Find LCM of 328,611,841,241,507 with Prime Factorization
13 | 328, 611, 841, 241, 507 |
328, 47, 841, 241, 39 |
Multiply the prime numbers at the bottom and the left side.
13 x 328 x 47 x 841 x 241 x 39 = 1584136860072
Therefore, the lowest common multiple of 328,611,841,241,507 is 1584136860072.
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.
328 x 611 x 841 x 241 x 507 = 20593779180936
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
611 : 1, 13, 47, 611
841 : 1, 29, 841
241 : 1, 241
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,611,841,241,507, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
611:13x 47
841:29x 29
241:241
507:3x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 20593779180936/(1x13)
LCM = 20593779180936/13
LCM = 1584136860072
Thus, we can understand that the LCM of 328,611,841,241,507 is 1584136860072.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 611, 841, 241, 507?
Answer: LCM of 328, 611, 841, 241, 507 is 1584136860072.
2. How to calculate the LCM of 328, 611, 841, 241, 507?
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 328, 611, 841, 241, 507.
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}.