LCM of 116, 860, 612, 799, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 116, 860, 612, 799, 580 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 116, 860, 612, 799, 580. So, keep reading to learn more.
Given numbers are 116,860,612,799,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,860,612,799,580 is 179343540.
Find LCM of 116,860,612,799,580 with Prime Factorization
| 2 | 116, 860, 612, 799, 580 |
| 2 | 58, 430, 306, 799, 290 |
| 5 | 29, 215, 153, 799, 145 |
| 17 | 29, 43, 153, 799, 29 |
| 29 | 29, 43, 9, 47, 29 |
| 1, 43, 9, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 29 x 1 x 43 x 9 x 47 x 1 = 179343540
Therefore, the lowest common multiple of 116,860,612,799,580 is 179343540.
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.
116 x 860 x 612 x 799 x 580 = 28293236870400
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.
116 : 1, 2, 4, 29, 58, 116
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
799 : 1, 17, 47, 799
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,860,612,799,580, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
860:2x 2x 5x 43
612:2x 2x 3x 3x 17
799:17x 47
580:2x 2x 5x 29
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 2x 2x 2x 5x 17x 29 = 157760
Therefore, the value for common factors is 157760.
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 = 28293236870400/(1x157760)
LCM = 28293236870400/157760
LCM = 179343540
Thus, we can understand that the LCM of 116,860,612,799,580 is 179343540.
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FAQs on LCM of 116, 860, 612, 799, 580
1. What is the LCM of 116, 860, 612, 799, 580?
Answer: LCM of 116, 860, 612, 799, 580 is 179343540.
2. How to calculate the LCM of 116, 860, 612, 799, 580?
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 116, 860, 612, 799, 580.
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}.