LCM of 798, 726, 904, 731, 757
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 798, 726, 904, 731, 757 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 798, 726, 904, 731, 757. So, keep reading to learn more.
Given numbers are 798,726,904,731,757
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,726,904,731,757 is 24151268875272.
Find LCM of 798,726,904,731,757 with Prime Factorization
| 2 | 798, 726, 904, 731, 757 |
| 3 | 399, 363, 452, 731, 757 |
| 133, 121, 452, 731, 757 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 133 x 121 x 452 x 731 x 757 = 24151268875272
Therefore, the lowest common multiple of 798,726,904,731,757 is 24151268875272.
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.
798 x 726 x 904 x 731 x 757 = 289815226503264
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
904 : 1, 2, 4, 8, 113, 226, 452, 904
731 : 1, 17, 43, 731
757 : 1, 757
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,726,904,731,757, is 1.
Now, the common factors can be found like this.
798:2x 3x 7x 19
726:2x 3x 11x 11
904:2x 2x 2x 113
731:17x 43
757:757
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 3 = 12
Therefore, the value for common factors is 12.
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 = 289815226503264/(1x12)
LCM = 289815226503264/12
LCM = 24151268875272
Thus, we can understand that the LCM of 798,726,904,731,757 is 24151268875272.
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FAQs on LCM of 798, 726, 904, 731, 757
1. What is the LCM of 798, 726, 904, 731, 757?
Answer: LCM of 798, 726, 904, 731, 757 is 24151268875272.
2. How to calculate the LCM of 798, 726, 904, 731, 757?
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 798, 726, 904, 731, 757.
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}.