LCM of 795, 798, 897, 931, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 795, 798, 897, 931, 427 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 795, 798, 897, 931, 427. So, keep reading to learn more.
Given numbers are 795,798,897,931,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 795,798,897,931,427 is 26999009310.
Find LCM of 795,798,897,931,427 with Prime Factorization
| 3 | 795, 798, 897, 931, 427 |
| 7 | 265, 266, 299, 931, 427 |
| 19 | 265, 38, 299, 133, 61 |
| 265, 2, 299, 7, 61 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 19 x 265 x 2 x 299 x 7 x 61 = 26999009310
Therefore, the lowest common multiple of 795,798,897,931,427 is 26999009310.
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.
795 x 798 x 897 x 931 x 427 = 226224699008490
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.
795 : 1, 3, 5, 15, 53, 159, 265, 795
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
897 : 1, 3, 13, 23, 39, 69, 299, 897
931 : 1, 7, 19, 49, 133, 931
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 795,798,897,931,427, is 1.
Now, the common factors can be found like this.
795:3x 5x 53
798:2x 3x 7x 19
897:3x 13x 23
931:7x 7x 19
427:7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 7x 19 = 8379
Therefore, the value for common factors is 8379.
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 = 226224699008490/(1x8379)
LCM = 226224699008490/8379
LCM = 26999009310
Thus, we can understand that the LCM of 795,798,897,931,427 is 26999009310.
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FAQs on LCM of 795, 798, 897, 931, 427
1. What is the LCM of 795, 798, 897, 931, 427?
Answer: LCM of 795, 798, 897, 931, 427 is 26999009310.
2. How to calculate the LCM of 795, 798, 897, 931, 427?
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 795, 798, 897, 931, 427.
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}.