LCM of 496, 204, 338, 221, 527
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 204, 338, 221, 527 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 496, 204, 338, 221, 527. So, keep reading to learn more.
Given numbers are 496,204,338,221,527
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,204,338,221,527 is 4275024.
Find LCM of 496,204,338,221,527 with Prime Factorization
| 2 | 496, 204, 338, 221, 527 |
| 2 | 248, 102, 169, 221, 527 |
| 13 | 124, 51, 169, 221, 527 |
| 17 | 124, 51, 13, 17, 527 |
| 31 | 124, 3, 13, 1, 31 |
| 4, 3, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 31 x 4 x 3 x 13 x 1 x 1 = 4275024
Therefore, the lowest common multiple of 496,204,338,221,527 is 4275024.
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.
496 x 204 x 338 x 221 x 527 = 3983193761664
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
338 : 1, 2, 13, 26, 169, 338
221 : 1, 13, 17, 221
527 : 1, 17, 31, 527
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,204,338,221,527, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
204:2x 2x 3x 17
338:2x 13x 13
221:13x 17
527:17x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 13x 17x 17x 31 = 931736
Therefore, the value for common factors is 931736.
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 = 3983193761664/(1x931736)
LCM = 3983193761664/931736
LCM = 4275024
Thus, we can understand that the LCM of 496,204,338,221,527 is 4275024.
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FAQs on LCM of 496, 204, 338, 221, 527
1. What is the LCM of 496, 204, 338, 221, 527?
Answer: LCM of 496, 204, 338, 221, 527 is 4275024.
2. How to calculate the LCM of 496, 204, 338, 221, 527?
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 496, 204, 338, 221, 527.
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}.