LCM of 495, 738, 451, 733
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 738, 451, 733 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 495, 738, 451, 733. So, keep reading to learn more.
Given numbers are 495,738,451,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,738,451,733 is 29752470.
Find LCM of 495,738,451,733 with Prime Factorization
| 3 | 495, 738, 451, 733 |
| 3 | 165, 246, 451, 733 |
| 11 | 55, 82, 451, 733 |
| 41 | 5, 82, 41, 733 |
| 5, 2, 1, 733 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 41 x 5 x 2 x 1 x 733 = 29752470
Therefore, the lowest common multiple of 495,738,451,733 is 29752470.
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.
495 x 738 x 451 x 733 = 120765275730
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.
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
451 : 1, 11, 41, 451
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,738,451,733, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
738:2x 3x 3x 41
451:11x 41
733:733
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 11x 41 = 4059
Therefore, the value for common factors is 4059.
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 = 120765275730/(1x4059)
LCM = 120765275730/4059
LCM = 29752470
Thus, we can understand that the LCM of 495,738,451,733 is 29752470.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 495, 738, 451, 733
1. What is the LCM of 495, 738, 451, 733?
Answer: LCM of 495, 738, 451, 733 is 29752470.
2. How to calculate the LCM of 495, 738, 451, 733?
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 495, 738, 451, 733.
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}.