LCM of 459, 743, 135, 126, 457
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 743, 135, 126, 457 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 459, 743, 135, 126, 457. So, keep reading to learn more.
Given numbers are 459,743,135,126,457
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,743,135,126,457 is 10909773630.
Find LCM of 459,743,135,126,457 with Prime Factorization
| 3 | 459, 743, 135, 126, 457 |
| 3 | 153, 743, 45, 42, 457 |
| 3 | 51, 743, 15, 14, 457 |
| 17, 743, 5, 14, 457 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 17 x 743 x 5 x 14 x 457 = 10909773630
Therefore, the lowest common multiple of 459,743,135,126,457 is 10909773630.
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.
459 x 743 x 135 x 126 x 457 = 2651074992090
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
743 : 1, 743
135 : 1, 3, 5, 9, 15, 27, 45, 135
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
457 : 1, 457
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,743,135,126,457, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
743:743
135:3x 3x 3x 5
126:2x 3x 3x 7
457:457
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3 = 243
Therefore, the value for common factors is 243.
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 = 2651074992090/(1x243)
LCM = 2651074992090/243
LCM = 10909773630
Thus, we can understand that the LCM of 459,743,135,126,457 is 10909773630.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 459, 743, 135, 126, 457
1. What is the LCM of 459, 743, 135, 126, 457?
Answer: LCM of 459, 743, 135, 126, 457 is 10909773630.
2. How to calculate the LCM of 459, 743, 135, 126, 457?
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 459, 743, 135, 126, 457.
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}.