LCM of 795, 302, 583, 892, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 795, 302, 583, 892, 979 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, 302, 583, 892, 979. So, keep reading to learn more.
Given numbers are 795,302,583,892,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 795,302,583,892,979 is 104831457060.
Find LCM of 795,302,583,892,979 with Prime Factorization
| 2 | 795, 302, 583, 892, 979 |
| 11 | 795, 151, 583, 446, 979 |
| 53 | 795, 151, 53, 446, 89 |
| 15, 151, 1, 446, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 53 x 15 x 151 x 1 x 446 x 89 = 104831457060
Therefore, the lowest common multiple of 795,302,583,892,979 is 104831457060.
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 302 x 583 x 892 x 979 = 122233478931960
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
302 : 1, 2, 151, 302
583 : 1, 11, 53, 583
892 : 1, 2, 4, 223, 446, 892
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 795,302,583,892,979, is 1.
Now, the common factors can be found like this.
795:3x 5x 53
302:2x 151
583:11x 53
892:2x 2x 223
979:11x 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 11x 53 = 1166
Therefore, the value for common factors is 1166.
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 = 122233478931960/(1x1166)
LCM = 122233478931960/1166
LCM = 104831457060
Thus, we can understand that the LCM of 795,302,583,892,979 is 104831457060.
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FAQs on LCM of 795, 302, 583, 892, 979
1. What is the LCM of 795, 302, 583, 892, 979?
Answer: LCM of 795, 302, 583, 892, 979 is 104831457060.
2. How to calculate the LCM of 795, 302, 583, 892, 979?
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, 302, 583, 892, 979.
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}.