LCM of 781, 455, 737, 671, 497
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 455, 737, 671, 497 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 781, 455, 737, 671, 497. So, keep reading to learn more.
Given numbers are 781,455,737,671,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,455,737,671,497 is 1452335885.
Find LCM of 781,455,737,671,497 with Prime Factorization
| 7 | 781, 455, 737, 671, 497 |
| 11 | 781, 65, 737, 671, 71 |
| 71 | 71, 65, 67, 61, 71 |
| 1, 65, 67, 61, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 71 x 1 x 65 x 67 x 61 x 1 = 1452335885
Therefore, the lowest common multiple of 781,455,737,671,497 is 1452335885.
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.
781 x 455 x 737 x 671 x 497 = 87339123116245
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.
781 : 1, 11, 71, 781
455 : 1, 5, 7, 13, 35, 65, 91, 455
737 : 1, 11, 67, 737
671 : 1, 11, 61, 671
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,455,737,671,497, is 1.
Now, the common factors can be found like this.
781:11x 71
455:5x 7x 13
737:11x 67
671:11x 61
497:7x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11x 11x 71 = 60137
Therefore, the value for common factors is 60137.
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 = 87339123116245/(1x60137)
LCM = 87339123116245/60137
LCM = 1452335885
Thus, we can understand that the LCM of 781,455,737,671,497 is 1452335885.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 781, 455, 737, 671, 497
1. What is the LCM of 781, 455, 737, 671, 497?
Answer: LCM of 781, 455, 737, 671, 497 is 1452335885.
2. How to calculate the LCM of 781, 455, 737, 671, 497?
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 781, 455, 737, 671, 497.
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}.