LCM of 324, 976, 771, 792, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 324, 976, 771, 792, 806 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 324, 976, 771, 792, 806. So, keep reading to learn more.
Given numbers are 324,976,771,792,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 324,976,771,792,806 is 90066998736.
Find LCM of 324,976,771,792,806 with Prime Factorization
| 2 | 324, 976, 771, 792, 806 |
| 2 | 162, 488, 771, 396, 403 |
| 2 | 81, 244, 771, 198, 403 |
| 3 | 81, 122, 771, 99, 403 |
| 3 | 27, 122, 257, 33, 403 |
| 9, 122, 257, 11, 403 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 9 x 122 x 257 x 11 x 403 = 90066998736
Therefore, the lowest common multiple of 324,976,771,792,806 is 90066998736.
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.
324 x 976 x 771 x 792 x 806 = 155635773815808
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.
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
771 : 1, 3, 257, 771
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,976,771,792,806, is 1.
Now, the common factors can be found like this.
324:2x 2x 3x 3x 3x 3
976:2x 2x 2x 2x 61
771:3x 257
792:2x 2x 2x 3x 3x 11
806:2x 13x 31
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 3 = 1728
Therefore, the value for common factors is 1728.
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 = 155635773815808/(1x1728)
LCM = 155635773815808/1728
LCM = 90066998736
Thus, we can understand that the LCM of 324,976,771,792,806 is 90066998736.
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FAQs on LCM of 324, 976, 771, 792, 806
1. What is the LCM of 324, 976, 771, 792, 806?
Answer: LCM of 324, 976, 771, 792, 806 is 90066998736.
2. How to calculate the LCM of 324, 976, 771, 792, 806?
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 324, 976, 771, 792, 806.
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}.