LCM of 655, 826, 987, 552, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 655, 826, 987, 552, 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 655, 826, 987, 552, 882. So, keep reading to learn more.
Given numbers are 655,826,987,552,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,826,987,552,882 is 147383064360.
Find LCM of 655,826,987,552,882 with Prime Factorization
| 2 | 655, 826, 987, 552, 882 |
| 3 | 655, 413, 987, 276, 441 |
| 7 | 655, 413, 329, 92, 147 |
| 655, 59, 47, 92, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 655 x 59 x 47 x 92 x 21 = 147383064360
Therefore, the lowest common multiple of 655,826,987,552,882 is 147383064360.
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.
655 x 826 x 987 x 552 x 882 = 259983725531040
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.
655 : 1, 5, 131, 655
826 : 1, 2, 7, 14, 59, 118, 413, 826
987 : 1, 3, 7, 21, 47, 141, 329, 987
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
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 655,826,987,552,882, is 1.
Now, the common factors can be found like this.
655:5x 131
826:2x 7x 59
987:3x 7x 47
552:2x 2x 2x 3x 23
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 3x 3x 7x 7 = 1764
Therefore, the value for common factors is 1764.
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 = 259983725531040/(1x1764)
LCM = 259983725531040/1764
LCM = 147383064360
Thus, we can understand that the LCM of 655,826,987,552,882 is 147383064360.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 655, 826, 987, 552, 882
1. What is the LCM of 655, 826, 987, 552, 882?
Answer: LCM of 655, 826, 987, 552, 882 is 147383064360.
2. How to calculate the LCM of 655, 826, 987, 552, 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 655, 826, 987, 552, 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}.