LCM of 651, 825, 524, 722, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 651, 825, 524, 722, 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 651, 825, 524, 722, 882. So, keep reading to learn more.
Given numbers are 651,825,524,722,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 651,825,524,722,882 is 711166787100.
Find LCM of 651,825,524,722,882 with Prime Factorization
| 2 | 651, 825, 524, 722, 882 |
| 3 | 651, 825, 262, 361, 441 |
| 7 | 217, 275, 262, 361, 147 |
| 31, 275, 262, 361, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 31 x 275 x 262 x 361 x 21 = 711166787100
Therefore, the lowest common multiple of 651,825,524,722,882 is 711166787100.
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.
651 x 825 x 524 x 722 x 882 = 179214030349200
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.
651 : 1, 3, 7, 21, 31, 93, 217, 651
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
524 : 1, 2, 4, 131, 262, 524
722 : 1, 2, 19, 38, 361, 722
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 651,825,524,722,882, is 1.
Now, the common factors can be found like this.
651:3x 7x 31
825:3x 5x 5x 11
524:2x 2x 131
722:2x 19x 19
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 7 = 252
Therefore, the value for common factors is 252.
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 = 179214030349200/(1x252)
LCM = 179214030349200/252
LCM = 711166787100
Thus, we can understand that the LCM of 651,825,524,722,882 is 711166787100.
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FAQs on LCM of 651, 825, 524, 722, 882
1. What is the LCM of 651, 825, 524, 722, 882?
Answer: LCM of 651, 825, 524, 722, 882 is 711166787100.
2. How to calculate the LCM of 651, 825, 524, 722, 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 651, 825, 524, 722, 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}.