Find the LCM of 278, 138, 338, 897, 519 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 278, 138, 338, 897, 519. So, keep reading to learn more.
Given numbers are 278,138,338,897,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,138,338,897,519 is 560824134.
Find LCM of 278,138,338,897,519 with Prime Factorization
2 | 278, 138, 338, 897, 519 |
3 | 139, 69, 169, 897, 519 |
13 | 139, 23, 169, 299, 173 |
23 | 139, 23, 13, 23, 173 |
139, 1, 13, 1, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 139 x 1 x 13 x 1 x 173 = 560824134
Therefore, the lowest common multiple of 278,138,338,897,519 is 560824134.
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.
278 x 138 x 338 x 897 x 519 = 6036710978376
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.
278 : 1, 2, 139, 278
138 : 1, 2, 3, 6, 23, 46, 69, 138
338 : 1, 2, 13, 26, 169, 338
897 : 1, 3, 13, 23, 39, 69, 299, 897
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,138,338,897,519, is 1.
Now, the common factors can be found like this.
278:2x 139
138:2x 3x 23
338:2x 13x 13
897:3x 13x 23
519:3x 173
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 3x 3x 13x 23 = 10764
Therefore, the value for common factors is 10764.
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 = 6036710978376/(1x10764)
LCM = 6036710978376/10764
LCM = 560824134
Thus, we can understand that the LCM of 278,138,338,897,519 is 560824134.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 278, 138, 338, 897, 519?
Answer: LCM of 278, 138, 338, 897, 519 is 560824134.
2. How to calculate the LCM of 278, 138, 338, 897, 519?
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 278, 138, 338, 897, 519.
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}.