LCM of 777, 600, 861, 712, 262
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 600, 861, 712, 262 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, 600, 861, 712, 262. So, keep reading to learn more.
Given numbers are 777,600,861,712,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,600,861,712,262 is 74284152600.
Find LCM of 777,600,861,712,262 with Prime Factorization
| 2 | 777, 600, 861, 712, 262 |
| 2 | 777, 300, 861, 356, 131 |
| 2 | 777, 150, 861, 178, 131 |
| 3 | 777, 75, 861, 89, 131 |
| 7 | 259, 25, 287, 89, 131 |
| 37, 25, 41, 89, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 37 x 25 x 41 x 89 x 131 = 74284152600
Therefore, the lowest common multiple of 777,600,861,712,262 is 74284152600.
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 600 x 861 x 712 x 262 = 74878425820800
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
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
861 : 1, 3, 7, 21, 41, 123, 287, 861
712 : 1, 2, 4, 8, 89, 178, 356, 712
262 : 1, 2, 131, 262
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,600,861,712,262, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
600:2x 2x 2x 3x 5x 5
861:3x 7x 41
712:2x 2x 2x 89
262:2x 131
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 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 74878425820800/(1x1008)
LCM = 74878425820800/1008
LCM = 74284152600
Thus, we can understand that the LCM of 777,600,861,712,262 is 74284152600.
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FAQs on LCM of 777, 600, 861, 712, 262
1. What is the LCM of 777, 600, 861, 712, 262?
Answer: LCM of 777, 600, 861, 712, 262 is 74284152600.
2. How to calculate the LCM of 777, 600, 861, 712, 262?
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, 600, 861, 712, 262.
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}.