LCM of 135, 746, 775, 494, 169
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 135, 746, 775, 494, 169 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 135, 746, 775, 494, 169. So, keep reading to learn more.
Given numbers are 135,746,775,494,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 135,746,775,494,169 is 50123870550.
Find LCM of 135,746,775,494,169 with Prime Factorization
| 2 | 135, 746, 775, 494, 169 |
| 5 | 135, 373, 775, 247, 169 |
| 13 | 27, 373, 155, 247, 169 |
| 27, 373, 155, 19, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 27 x 373 x 155 x 19 x 13 = 50123870550
Therefore, the lowest common multiple of 135,746,775,494,169 is 50123870550.
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.
135 x 746 x 775 x 494 x 169 = 6516103171500
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.
135 : 1, 3, 5, 9, 15, 27, 45, 135
746 : 1, 2, 373, 746
775 : 1, 5, 25, 31, 155, 775
494 : 1, 2, 13, 19, 26, 38, 247, 494
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,746,775,494,169, is 1.
Now, the common factors can be found like this.
135:3x 3x 3x 5
746:2x 373
775:5x 5x 31
494:2x 13x 19
169:13x 13
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 13 = 130
Therefore, the value for common factors is 130.
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 = 6516103171500/(1x130)
LCM = 6516103171500/130
LCM = 50123870550
Thus, we can understand that the LCM of 135,746,775,494,169 is 50123870550.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 135, 746, 775, 494, 169
1. What is the LCM of 135, 746, 775, 494, 169?
Answer: LCM of 135, 746, 775, 494, 169 is 50123870550.
2. How to calculate the LCM of 135, 746, 775, 494, 169?
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 135, 746, 775, 494, 169.
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}.