LCM of 747, 428, 760, 469, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 428, 760, 469, 686 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 747, 428, 760, 469, 686. So, keep reading to learn more.
Given numbers are 747,428,760,469,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,428,760,469,686 is 1396004745240.
Find LCM of 747,428,760,469,686 with Prime Factorization
| 2 | 747, 428, 760, 469, 686 |
| 2 | 747, 214, 380, 469, 343 |
| 7 | 747, 107, 190, 469, 343 |
| 747, 107, 190, 67, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 747 x 107 x 190 x 67 x 49 = 1396004745240
Therefore, the lowest common multiple of 747,428,760,469,686 is 1396004745240.
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.
747 x 428 x 760 x 469 x 686 = 78176265733440
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.
747 : 1, 3, 9, 83, 249, 747
428 : 1, 2, 4, 107, 214, 428
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
469 : 1, 7, 67, 469
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,428,760,469,686, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
428:2x 2x 107
760:2x 2x 2x 5x 19
469:7x 67
686:2x 7x 7x 7
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 7 = 56
Therefore, the value for common factors is 56.
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 = 78176265733440/(1x56)
LCM = 78176265733440/56
LCM = 1396004745240
Thus, we can understand that the LCM of 747,428,760,469,686 is 1396004745240.
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FAQs on LCM of 747, 428, 760, 469, 686
1. What is the LCM of 747, 428, 760, 469, 686?
Answer: LCM of 747, 428, 760, 469, 686 is 1396004745240.
2. How to calculate the LCM of 747, 428, 760, 469, 686?
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 747, 428, 760, 469, 686.
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}.