Find the LCM of 982, 909, 440, 848, 882 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 982, 909, 440, 848, 882. So, keep reading to learn more.
Given numbers are 982,909,440,848,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 982,909,440,848,882 is 1019999589840.
Find LCM of 982,909,440,848,882 with Prime Factorization
2 | 982, 909, 440, 848, 882 |
2 | 491, 909, 220, 424, 441 |
2 | 491, 909, 110, 212, 441 |
3 | 491, 909, 55, 106, 441 |
3 | 491, 303, 55, 106, 147 |
491, 101, 55, 106, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 491 x 101 x 55 x 106 x 49 = 1019999589840
Therefore, the lowest common multiple of 982,909,440,848,882 is 1019999589840.
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.
982 x 909 x 440 x 848 x 882 = 293759881873920
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.
982 : 1, 2, 491, 982
909 : 1, 3, 9, 101, 303, 909
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,909,440,848,882, is 1.
Now, the common factors can be found like this.
982:2x 491
909:3x 3x 101
440:2x 2x 2x 5x 11
848:2x 2x 2x 2x 53
882:2x 3x 3x 7x 7
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 293759881873920/(1x288)
LCM = 293759881873920/288
LCM = 1019999589840
Thus, we can understand that the LCM of 982,909,440,848,882 is 1019999589840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 982, 909, 440, 848, 882?
Answer: LCM of 982, 909, 440, 848, 882 is 1019999589840.
2. How to calculate the LCM of 982, 909, 440, 848, 882?
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 982, 909, 440, 848, 882.
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}.