LCM of 591, 828, 418, 874, 801
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 828, 418, 874, 801 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 591, 828, 418, 874, 801. So, keep reading to learn more.
Given numbers are 591,828,418,874,801
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,828,418,874,801 is 3034120716.
Find LCM of 591,828,418,874,801 with Prime Factorization
| 2 | 591, 828, 418, 874, 801 |
| 3 | 591, 414, 209, 437, 801 |
| 3 | 197, 138, 209, 437, 267 |
| 19 | 197, 46, 209, 437, 89 |
| 23 | 197, 46, 11, 23, 89 |
| 197, 2, 11, 1, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 23 x 197 x 2 x 11 x 1 x 89 = 3034120716
Therefore, the lowest common multiple of 591,828,418,874,801 is 3034120716.
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.
591 x 828 x 418 x 874 x 801 = 143198361312336
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.
591 : 1, 3, 197, 591
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
418 : 1, 2, 11, 19, 22, 38, 209, 418
874 : 1, 2, 19, 23, 38, 46, 437, 874
801 : 1, 3, 9, 89, 267, 801
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,828,418,874,801, is 1.
Now, the common factors can be found like this.
591:3x 197
828:2x 2x 3x 3x 23
418:2x 11x 19
874:2x 19x 23
801:3x 3x 89
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 3x 19x 23 = 47196
Therefore, the value for common factors is 47196.
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 = 143198361312336/(1x47196)
LCM = 143198361312336/47196
LCM = 3034120716
Thus, we can understand that the LCM of 591,828,418,874,801 is 3034120716.
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FAQs on LCM of 591, 828, 418, 874, 801
1. What is the LCM of 591, 828, 418, 874, 801?
Answer: LCM of 591, 828, 418, 874, 801 is 3034120716.
2. How to calculate the LCM of 591, 828, 418, 874, 801?
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 591, 828, 418, 874, 801.
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}.