LCM of 822, 538, 814, 252, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 538, 814, 252, 715 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 822, 538, 814, 252, 715. So, keep reading to learn more.
Given numbers are 822,538,814,252,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,538,814,252,715 is 245686420980.
Find LCM of 822,538,814,252,715 with Prime Factorization
| 2 | 822, 538, 814, 252, 715 |
| 3 | 411, 269, 407, 126, 715 |
| 11 | 137, 269, 407, 42, 715 |
| 137, 269, 37, 42, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 137 x 269 x 37 x 42 x 65 = 245686420980
Therefore, the lowest common multiple of 822,538,814,252,715 is 245686420980.
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.
822 x 538 x 814 x 252 x 715 = 64861215138720
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
538 : 1, 2, 269, 538
814 : 1, 2, 11, 22, 37, 74, 407, 814
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,538,814,252,715, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
538:2x 269
814:2x 11x 37
252:2x 2x 3x 3x 7
715:5x 11x 13
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 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 64861215138720/(1x264)
LCM = 64861215138720/264
LCM = 245686420980
Thus, we can understand that the LCM of 822,538,814,252,715 is 245686420980.
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FAQs on LCM of 822, 538, 814, 252, 715
1. What is the LCM of 822, 538, 814, 252, 715?
Answer: LCM of 822, 538, 814, 252, 715 is 245686420980.
2. How to calculate the LCM of 822, 538, 814, 252, 715?
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 822, 538, 814, 252, 715.
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}.