LCM of 882, 867, 648, 973
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 867, 648, 973 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 882, 867, 648, 973. So, keep reading to learn more.
Given numbers are 882,867,648,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,867,648,973 is 1275509592.
Find LCM of 882,867,648,973 with Prime Factorization
| 2 | 882, 867, 648, 973 |
| 3 | 441, 867, 324, 973 |
| 3 | 147, 289, 108, 973 |
| 7 | 49, 289, 36, 973 |
| 7, 289, 36, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 7 x 289 x 36 x 139 = 1275509592
Therefore, the lowest common multiple of 882,867,648,973 is 1275509592.
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.
882 x 867 x 648 x 973 = 482142625776
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
867 : 1, 3, 17, 51, 289, 867
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,867,648,973, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
867:3x 17x 17
648:2x 2x 2x 3x 3x 3x 3
973:7x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7 = 378
Therefore, the value for common factors is 378.
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 = 482142625776/(1x378)
LCM = 482142625776/378
LCM = 1275509592
Thus, we can understand that the LCM of 882,867,648,973 is 1275509592.
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FAQs on LCM of 882, 867, 648, 973
1. What is the LCM of 882, 867, 648, 973?
Answer: LCM of 882, 867, 648, 973 is 1275509592.
2. How to calculate the LCM of 882, 867, 648, 973?
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 882, 867, 648, 973.
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}.