LCM of 352, 431, 418, 988, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 352, 431, 418, 988, 871 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 352, 431, 418, 988, 871. So, keep reading to learn more.
Given numbers are 352,431,418,988,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 352,431,418,988,871 is 2510681888.
Find LCM of 352,431,418,988,871 with Prime Factorization
| 2 | 352, 431, 418, 988, 871 |
| 2 | 176, 431, 209, 494, 871 |
| 11 | 88, 431, 209, 247, 871 |
| 13 | 8, 431, 19, 247, 871 |
| 19 | 8, 431, 19, 19, 67 |
| 8, 431, 1, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 19 x 8 x 431 x 1 x 1 x 67 = 2510681888
Therefore, the lowest common multiple of 352,431,418,988,871 is 2510681888.
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.
352 x 431 x 418 x 988 x 871 = 54572181517568
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.
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
431 : 1, 431
418 : 1, 2, 11, 19, 22, 38, 209, 418
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,431,418,988,871, is 1.
Now, the common factors can be found like this.
352:2x 2x 2x 2x 2x 11
431:431
418:2x 11x 19
988:2x 2x 13x 19
871:13x 67
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 11x 13x 19 = 21736
Therefore, the value for common factors is 21736.
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 = 54572181517568/(1x21736)
LCM = 54572181517568/21736
LCM = 2510681888
Thus, we can understand that the LCM of 352,431,418,988,871 is 2510681888.
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FAQs on LCM of 352, 431, 418, 988, 871
1. What is the LCM of 352, 431, 418, 988, 871?
Answer: LCM of 352, 431, 418, 988, 871 is 2510681888.
2. How to calculate the LCM of 352, 431, 418, 988, 871?
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 352, 431, 418, 988, 871.
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}.