LCM of 831, 580, 612, 708, 860
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 831, 580, 612, 708, 860 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 831, 580, 612, 708, 860. So, keep reading to learn more.
Given numbers are 831,580,612,708,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 831,580,612,708,860 is 62361946260.
Find LCM of 831,580,612,708,860 with Prime Factorization
| 2 | 831, 580, 612, 708, 860 |
| 2 | 831, 290, 306, 354, 430 |
| 3 | 831, 145, 153, 177, 215 |
| 5 | 277, 145, 51, 59, 215 |
| 277, 29, 51, 59, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 277 x 29 x 51 x 59 x 43 = 62361946260
Therefore, the lowest common multiple of 831,580,612,708,860 is 62361946260.
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.
831 x 580 x 612 x 708 x 860 = 179602405228800
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.
831 : 1, 3, 277, 831
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,580,612,708,860, is 1.
Now, the common factors can be found like this.
831:3x 277
580:2x 2x 5x 29
612:2x 2x 3x 3x 17
708:2x 2x 3x 59
860:2x 2x 5x 43
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 3x 3x 5 = 2880
Therefore, the value for common factors is 2880.
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 = 179602405228800/(1x2880)
LCM = 179602405228800/2880
LCM = 62361946260
Thus, we can understand that the LCM of 831,580,612,708,860 is 62361946260.
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FAQs on LCM of 831, 580, 612, 708, 860
1. What is the LCM of 831, 580, 612, 708, 860?
Answer: LCM of 831, 580, 612, 708, 860 is 62361946260.
2. How to calculate the LCM of 831, 580, 612, 708, 860?
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 831, 580, 612, 708, 860.
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}.