LCM of 777, 364, 460, 743, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 364, 460, 743, 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 777, 364, 460, 743, 806. So, keep reading to learn more.
Given numbers are 777,364,460,743,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,364,460,743,806 is 107021913180.
Find LCM of 777,364,460,743,806 with Prime Factorization
| 2 | 777, 364, 460, 743, 806 |
| 2 | 777, 182, 230, 743, 403 |
| 7 | 777, 91, 115, 743, 403 |
| 13 | 111, 13, 115, 743, 403 |
| 111, 1, 115, 743, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 111 x 1 x 115 x 743 x 31 = 107021913180
Therefore, the lowest common multiple of 777,364,460,743,806 is 107021913180.
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.
777 x 364 x 460 x 743 x 806 = 77911952795040
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.
777 : 1, 3, 7, 21, 37, 111, 259, 777
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
743 : 1, 743
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 777,364,460,743,806, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
364:2x 2x 7x 13
460:2x 2x 5x 23
743:743
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 7x 13 = 728
Therefore, the value for common factors is 728.
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 = 77911952795040/(1x728)
LCM = 77911952795040/728
LCM = 107021913180
Thus, we can understand that the LCM of 777,364,460,743,806 is 107021913180.
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FAQs on LCM of 777, 364, 460, 743, 806
1. What is the LCM of 777, 364, 460, 743, 806?
Answer: LCM of 777, 364, 460, 743, 806 is 107021913180.
2. How to calculate the LCM of 777, 364, 460, 743, 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 777, 364, 460, 743, 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}.