Find the LCM of 280, 252, 854, 841, 388 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 280, 252, 854, 841, 388. So, keep reading to learn more.
Given numbers are 280,252,854,841,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,252,854,841,388 is 12540016440.
Find LCM of 280,252,854,841,388 with Prime Factorization
2 | 280, 252, 854, 841, 388 |
2 | 140, 126, 427, 841, 194 |
7 | 70, 63, 427, 841, 97 |
10, 9, 61, 841, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 10 x 9 x 61 x 841 x 97 = 12540016440
Therefore, the lowest common multiple of 280,252,854,841,388 is 12540016440.
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.
280 x 252 x 854 x 841 x 388 = 19662745777920
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.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
854 : 1, 2, 7, 14, 61, 122, 427, 854
841 : 1, 29, 841
388 : 1, 2, 4, 97, 194, 388
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,252,854,841,388, is 1.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
252:2x 2x 3x 3x 7
854:2x 7x 61
841:29x 29
388:2x 2x 97
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 2x 2x 7x 7 = 1568
Therefore, the value for common factors is 1568.
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 = 19662745777920/(1x1568)
LCM = 19662745777920/1568
LCM = 12540016440
Thus, we can understand that the LCM of 280,252,854,841,388 is 12540016440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 280, 252, 854, 841, 388?
Answer: LCM of 280, 252, 854, 841, 388 is 12540016440.
2. How to calculate the LCM of 280, 252, 854, 841, 388?
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 280, 252, 854, 841, 388.
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}.