Find the LCM of 882, 538, 538, 520 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, 538, 538, 520. So, keep reading to learn more.
Given numbers are 882,538,538,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,538,538,520 is 61687080.
Find LCM of 882,538,538,520 with Prime Factorization
2 | 882, 538, 538, 520 |
269 | 441, 269, 269, 260 |
441, 1, 1, 260 |
Multiply the prime numbers at the bottom and the left side.
2 x 269 x 441 x 1 x 1 x 260 = 61687080
Therefore, the lowest common multiple of 882,538,538,520 is 61687080.
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 538 x 538 x 520 = 132750596160
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
538 : 1, 2, 269, 538
538 : 1, 2, 269, 538
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,538,538,520, is 2.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
538:2x 269
538:2x 269
520:2x 2x 2x 5x 13
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 269 = 1076
Therefore, the value for common factors is 1076.
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 = 132750596160/(2x1076)
LCM = 132750596160/2152
LCM = 61687080
Thus, we can understand that the LCM of 882,538,538,520 is 61687080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 882, 538, 538, 520?
Answer: LCM of 882, 538, 538, 520 is 61687080.
2. How to calculate the LCM of 882, 538, 538, 520?
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, 538, 538, 520.
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}.