LCM of 791, 678, 731, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 791, 678, 731, 675 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 791, 678, 731, 675. So, keep reading to learn more.
Given numbers are 791,678,731,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,678,731,675 is 780598350.
Find LCM of 791,678,731,675 with Prime Factorization
| 3 | 791, 678, 731, 675 |
| 113 | 791, 226, 731, 225 |
| 7, 2, 731, 225 |
Multiply the prime numbers at the bottom and the left side.
3 x 113 x 7 x 2 x 731 x 225 = 780598350
Therefore, the lowest common multiple of 791,678,731,675 is 780598350.
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.
791 x 678 x 731 x 675 = 264622840650
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.
791 : 1, 7, 113, 791
678 : 1, 2, 3, 6, 113, 226, 339, 678
731 : 1, 17, 43, 731
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,678,731,675, is 1.
Now, the common factors can be found like this.
791:7x 113
678:2x 3x 113
731:17x 43
675:3x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 113 = 339
Therefore, the value for common factors is 339.
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 = 264622840650/(1x339)
LCM = 264622840650/339
LCM = 780598350
Thus, we can understand that the LCM of 791,678,731,675 is 780598350.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 791, 678, 731, 675
1. What is the LCM of 791, 678, 731, 675?
Answer: LCM of 791, 678, 731, 675 is 780598350.
2. How to calculate the LCM of 791, 678, 731, 675?
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 791, 678, 731, 675.
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}.