LCM of 495, 979, 726, 396, 449
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 979, 726, 396, 449 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, 979, 726, 396, 449. So, keep reading to learn more.
Given numbers are 495,979,726,396,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,979,726,396,449 is 870350580.
Find LCM of 495,979,726,396,449 with Prime Factorization
| 2 | 495, 979, 726, 396, 449 |
| 3 | 495, 979, 363, 198, 449 |
| 3 | 165, 979, 121, 66, 449 |
| 11 | 55, 979, 121, 22, 449 |
| 5, 89, 11, 2, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 5 x 89 x 11 x 2 x 449 = 870350580
Therefore, the lowest common multiple of 495,979,726,396,449 is 870350580.
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 979 x 726 x 396 x 449 = 62555577586920
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
979 : 1, 11, 89, 979
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,979,726,396,449, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
979:11x 89
726:2x 3x 11x 11
396:2x 2x 3x 3x 11
449:449
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11x 11x 11 = 71874
Therefore, the value for common factors is 71874.
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 = 62555577586920/(1x71874)
LCM = 62555577586920/71874
LCM = 870350580
Thus, we can understand that the LCM of 495,979,726,396,449 is 870350580.
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FAQs on LCM of 495, 979, 726, 396, 449
1. What is the LCM of 495, 979, 726, 396, 449?
Answer: LCM of 495, 979, 726, 396, 449 is 870350580.
2. How to calculate the LCM of 495, 979, 726, 396, 449?
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, 979, 726, 396, 449.
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}.