LCM of 115, 931, 630, 809, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 115, 931, 630, 809, 684 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 115, 931, 630, 809, 684. So, keep reading to learn more.
Given numbers are 115,931,630,809,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,931,630,809,684 is 3118161060.
Find LCM of 115,931,630,809,684 with Prime Factorization
| 2 | 115, 931, 630, 809, 684 |
| 3 | 115, 931, 315, 809, 342 |
| 3 | 115, 931, 105, 809, 114 |
| 5 | 115, 931, 35, 809, 38 |
| 7 | 23, 931, 7, 809, 38 |
| 19 | 23, 133, 1, 809, 38 |
| 23, 7, 1, 809, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 19 x 23 x 7 x 1 x 809 x 2 = 3118161060
Therefore, the lowest common multiple of 115,931,630,809,684 is 3118161060.
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.
115 x 931 x 630 x 809 x 684 = 37324387888200
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.
115 : 1, 5, 23, 115
931 : 1, 7, 19, 49, 133, 931
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
809 : 1, 809
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,931,630,809,684, is 1.
Now, the common factors can be found like this.
115:5x 23
931:7x 7x 19
630:2x 3x 3x 5x 7
809:809
684:2x 2x 3x 3x 19
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 5x 7x 19 = 11970
Therefore, the value for common factors is 11970.
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 = 37324387888200/(1x11970)
LCM = 37324387888200/11970
LCM = 3118161060
Thus, we can understand that the LCM of 115,931,630,809,684 is 3118161060.
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FAQs on LCM of 115, 931, 630, 809, 684
1. What is the LCM of 115, 931, 630, 809, 684?
Answer: LCM of 115, 931, 630, 809, 684 is 3118161060.
2. How to calculate the LCM of 115, 931, 630, 809, 684?
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 115, 931, 630, 809, 684.
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}.