LCM of 731, 374, 755, 735, 926
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 374, 755, 735, 926 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 731, 374, 755, 735, 926. So, keep reading to learn more.
Given numbers are 731,374,755,735,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,374,755,735,926 is 826390536510.
Find LCM of 731,374,755,735,926 with Prime Factorization
| 2 | 731, 374, 755, 735, 926 |
| 5 | 731, 187, 755, 735, 463 |
| 17 | 731, 187, 151, 147, 463 |
| 43, 11, 151, 147, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 43 x 11 x 151 x 147 x 463 = 826390536510
Therefore, the lowest common multiple of 731,374,755,735,926 is 826390536510.
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.
731 x 374 x 755 x 735 x 926 = 140486391206700
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.
731 : 1, 17, 43, 731
374 : 1, 2, 11, 17, 22, 34, 187, 374
755 : 1, 5, 151, 755
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
926 : 1, 2, 463, 926
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,374,755,735,926, is 1.
Now, the common factors can be found like this.
731:17x 43
374:2x 11x 17
755:5x 151
735:3x 5x 7x 7
926:2x 463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17 = 170
Therefore, the value for common factors is 170.
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 = 140486391206700/(1x170)
LCM = 140486391206700/170
LCM = 826390536510
Thus, we can understand that the LCM of 731,374,755,735,926 is 826390536510.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 731, 374, 755, 735, 926
1. What is the LCM of 731, 374, 755, 735, 926?
Answer: LCM of 731, 374, 755, 735, 926 is 826390536510.
2. How to calculate the LCM of 731, 374, 755, 735, 926?
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 731, 374, 755, 735, 926.
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}.