Find the LCM of 798, 596, 882, 279, 745 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 798, 596, 882, 279, 745. So, keep reading to learn more.
Given numbers are 798,596,882,279,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,596,882,279,745 is 774052020.
Find LCM of 798,596,882,279,745 with Prime Factorization
2 | 798, 596, 882, 279, 745 |
3 | 399, 298, 441, 279, 745 |
3 | 133, 298, 147, 93, 745 |
7 | 133, 298, 49, 31, 745 |
149 | 19, 298, 7, 31, 745 |
19, 2, 7, 31, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 149 x 19 x 2 x 7 x 31 x 5 = 774052020
Therefore, the lowest common multiple of 798,596,882,279,745 is 774052020.
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.
798 x 596 x 882 x 279 x 745 = 87192315740880
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
596 : 1, 2, 4, 149, 298, 596
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
279 : 1, 3, 9, 31, 93, 279
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,596,882,279,745, is 1.
Now, the common factors can be found like this.
798:2x 3x 7x 19
596:2x 2x 149
882:2x 3x 3x 7x 7
279:3x 3x 31
745:5x 149
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 3x 7x 149 = 112644
Therefore, the value for common factors is 112644.
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 = 87192315740880/(1x112644)
LCM = 87192315740880/112644
LCM = 774052020
Thus, we can understand that the LCM of 798,596,882,279,745 is 774052020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 798, 596, 882, 279, 745?
Answer: LCM of 798, 596, 882, 279, 745 is 774052020.
2. How to calculate the LCM of 798, 596, 882, 279, 745?
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 798, 596, 882, 279, 745.
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}.