Find the LCM of 308, 917, 939, 818, 524 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 308, 917, 939, 818, 524. So, keep reading to learn more.
Given numbers are 308,917,939,818,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,917,939,818,524 is 15495689748.
Find LCM of 308,917,939,818,524 with Prime Factorization
2 | 308, 917, 939, 818, 524 |
2 | 154, 917, 939, 409, 262 |
7 | 77, 917, 939, 409, 131 |
131 | 11, 131, 939, 409, 131 |
11, 1, 939, 409, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 131 x 11 x 1 x 939 x 409 x 1 = 15495689748
Therefore, the lowest common multiple of 308,917,939,818,524 is 15495689748.
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.
308 x 917 x 939 x 818 x 524 = 113676379991328
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
917 : 1, 7, 131, 917
939 : 1, 3, 313, 939
818 : 1, 2, 409, 818
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,917,939,818,524, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
917:7x 131
939:3x 313
818:2x 409
524:2x 2x 131
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 7x 131 = 7336
Therefore, the value for common factors is 7336.
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 = 113676379991328/(1x7336)
LCM = 113676379991328/7336
LCM = 15495689748
Thus, we can understand that the LCM of 308,917,939,818,524 is 15495689748.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 308, 917, 939, 818, 524?
Answer: LCM of 308, 917, 939, 818, 524 is 15495689748.
2. How to calculate the LCM of 308, 917, 939, 818, 524?
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 308, 917, 939, 818, 524.
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}.