LCM of 712, 728, 418, 517, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 712, 728, 418, 517, 657 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 712, 728, 418, 517, 657. So, keep reading to learn more.
Given numbers are 712,728,418,517,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,728,418,517,657 is 418148843112.
Find LCM of 712,728,418,517,657 with Prime Factorization
| 2 | 712, 728, 418, 517, 657 |
| 2 | 356, 364, 209, 517, 657 |
| 2 | 178, 182, 209, 517, 657 |
| 11 | 89, 91, 209, 517, 657 |
| 89, 91, 19, 47, 657 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 89 x 91 x 19 x 47 x 657 = 418148843112
Therefore, the lowest common multiple of 712,728,418,517,657 is 418148843112.
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.
712 x 728 x 418 x 517 x 657 = 73594196387712
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
418 : 1, 2, 11, 19, 22, 38, 209, 418
517 : 1, 11, 47, 517
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,728,418,517,657, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
728:2x 2x 2x 7x 13
418:2x 11x 19
517:11x 47
657:3x 3x 73
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 11 = 176
Therefore, the value for common factors is 176.
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 = 73594196387712/(1x176)
LCM = 73594196387712/176
LCM = 418148843112
Thus, we can understand that the LCM of 712,728,418,517,657 is 418148843112.
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FAQs on LCM of 712, 728, 418, 517, 657
1. What is the LCM of 712, 728, 418, 517, 657?
Answer: LCM of 712, 728, 418, 517, 657 is 418148843112.
2. How to calculate the LCM of 712, 728, 418, 517, 657?
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 712, 728, 418, 517, 657.
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}.