Find the LCM of 882, 252, 139, 334, 395 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 882, 252, 139, 334, 395. So, keep reading to learn more.
Given numbers are 882,252,139,334,395
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,252,139,334,395 is 16174354140.
Find LCM of 882,252,139,334,395 with Prime Factorization
2 | 882, 252, 139, 334, 395 |
3 | 441, 126, 139, 167, 395 |
3 | 147, 42, 139, 167, 395 |
7 | 49, 14, 139, 167, 395 |
7, 2, 139, 167, 395 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 7 x 2 x 139 x 167 x 395 = 16174354140
Therefore, the lowest common multiple of 882,252,139,334,395 is 16174354140.
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.
882 x 252 x 139 x 334 x 395 = 4075937243280
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
139 : 1, 139
334 : 1, 2, 167, 334
395 : 1, 5, 79, 395
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,252,139,334,395, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
252:2x 2x 3x 3x 7
139:139
334:2x 167
395:5x 79
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 7 = 252
Therefore, the value for common factors is 252.
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 = 4075937243280/(1x252)
LCM = 4075937243280/252
LCM = 16174354140
Thus, we can understand that the LCM of 882,252,139,334,395 is 16174354140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 882, 252, 139, 334, 395?
Answer: LCM of 882, 252, 139, 334, 395 is 16174354140.
2. How to calculate the LCM of 882, 252, 139, 334, 395?
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 882, 252, 139, 334, 395.
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}.