LCM of 711, 687, 369, 553, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 711, 687, 369, 553, 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 711, 687, 369, 553, 882. So, keep reading to learn more.
Given numbers are 711,687,369,553,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,687,369,553,882 is 654206742.
Find LCM of 711,687,369,553,882 with Prime Factorization
| 3 | 711, 687, 369, 553, 882 |
| 3 | 237, 229, 123, 553, 294 |
| 7 | 79, 229, 41, 553, 98 |
| 79 | 79, 229, 41, 79, 14 |
| 1, 229, 41, 1, 14 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 79 x 1 x 229 x 41 x 1 x 14 = 654206742
Therefore, the lowest common multiple of 711,687,369,553,882 is 654206742.
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.
711 x 687 x 369 x 553 x 882 = 87911647783218
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.
711 : 1, 3, 9, 79, 237, 711
687 : 1, 3, 229, 687
369 : 1, 3, 9, 41, 123, 369
553 : 1, 7, 79, 553
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 711,687,369,553,882, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
687:3x 229
369:3x 3x 41
553:7x 79
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 3x 3x 3x 7x 79 = 134379
Therefore, the value for common factors is 134379.
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 = 87911647783218/(1x134379)
LCM = 87911647783218/134379
LCM = 654206742
Thus, we can understand that the LCM of 711,687,369,553,882 is 654206742.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 711, 687, 369, 553, 882
1. What is the LCM of 711, 687, 369, 553, 882?
Answer: LCM of 711, 687, 369, 553, 882 is 654206742.
2. How to calculate the LCM of 711, 687, 369, 553, 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 711, 687, 369, 553, 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}.