LCM of 981, 333, 288, 548, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 333, 288, 548, 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 981, 333, 288, 548, 882. So, keep reading to learn more.
Given numbers are 981,333,288,548,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,333,288,548,882 is 7797176352.
Find LCM of 981,333,288,548,882 with Prime Factorization
| 2 | 981, 333, 288, 548, 882 |
| 2 | 981, 333, 144, 274, 441 |
| 3 | 981, 333, 72, 137, 441 |
| 3 | 327, 111, 24, 137, 147 |
| 109, 37, 8, 137, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 109 x 37 x 8 x 137 x 49 = 7797176352
Therefore, the lowest common multiple of 981,333,288,548,882 is 7797176352.
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.
981 x 333 x 288 x 548 x 882 = 45473132484864
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.
981 : 1, 3, 9, 109, 327, 981
333 : 1, 3, 9, 37, 111, 333
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
548 : 1, 2, 4, 137, 274, 548
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 981,333,288,548,882, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
333:3x 3x 37
288:2x 2x 2x 2x 2x 3x 3
548:2x 2x 137
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 3x 3x 3x 3x 3x 3 = 5832
Therefore, the value for common factors is 5832.
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 = 45473132484864/(1x5832)
LCM = 45473132484864/5832
LCM = 7797176352
Thus, we can understand that the LCM of 981,333,288,548,882 is 7797176352.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 981, 333, 288, 548, 882
1. What is the LCM of 981, 333, 288, 548, 882?
Answer: LCM of 981, 333, 288, 548, 882 is 7797176352.
2. How to calculate the LCM of 981, 333, 288, 548, 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 981, 333, 288, 548, 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}.