Find the LCM of 705, 981, 551, 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 705, 981, 551, 882. So, keep reading to learn more.
Given numbers are 705,981,551,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,981,551,882 is 12448428930.
Find LCM of 705,981,551,882 with Prime Factorization
3 | 705, 981, 551, 882 |
3 | 235, 327, 551, 294 |
235, 109, 551, 98 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 235 x 109 x 551 x 98 = 12448428930
Therefore, the lowest common multiple of 705,981,551,882 is 12448428930.
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.
705 x 981 x 551 x 882 = 336107581110
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
981 : 1, 3, 9, 109, 327, 981
551 : 1, 19, 29, 551
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 705,981,551,882, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
981:3x 3x 109
551:19x 29
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.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 336107581110/(1x27)
LCM = 336107581110/27
LCM = 12448428930
Thus, we can understand that the LCM of 705,981,551,882 is 12448428930.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 705, 981, 551, 882?
Answer: LCM of 705, 981, 551, 882 is 12448428930.
2. How to calculate the LCM of 705, 981, 551, 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 705, 981, 551, 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}.