LCM of 495, 420, 303, 417, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 420, 303, 417, 498 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, 420, 303, 417, 498. So, keep reading to learn more.
Given numbers are 495,420,303,417,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,420,303,417,498 is 16150184820.
Find LCM of 495,420,303,417,498 with Prime Factorization
| 2 | 495, 420, 303, 417, 498 |
| 3 | 495, 210, 303, 417, 249 |
| 5 | 165, 70, 101, 139, 83 |
| 33, 14, 101, 139, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 33 x 14 x 101 x 139 x 83 = 16150184820
Therefore, the lowest common multiple of 495,420,303,417,498 is 16150184820.
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 420 x 303 x 417 x 498 = 13081649704200
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
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
303 : 1, 3, 101, 303
417 : 1, 3, 139, 417
498 : 1, 2, 3, 6, 83, 166, 249, 498
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,420,303,417,498, is 3.
Now, the common factors can be found like this.
495:3x 3x 5x 11
420:2x 2x 3x 5x 7
303:3x 101
417:3x 139
498:2x 3x 83
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 5 = 270
Therefore, the value for common factors is 270.
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 = 13081649704200/(3x270)
LCM = 13081649704200/810
LCM = 16150184820
Thus, we can understand that the LCM of 495,420,303,417,498 is 16150184820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 495, 420, 303, 417, 498
1. What is the LCM of 495, 420, 303, 417, 498?
Answer: LCM of 495, 420, 303, 417, 498 is 16150184820.
2. How to calculate the LCM of 495, 420, 303, 417, 498?
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, 420, 303, 417, 498.
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}.