LCM of 199, 988, 676, 431, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 199, 988, 676, 431, 299 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 199, 988, 676, 431, 299. So, keep reading to learn more.
Given numbers are 199,988,676,431,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 199,988,676,431,299 is 25337191828.
Find LCM of 199,988,676,431,299 with Prime Factorization
| 2 | 199, 988, 676, 431, 299 |
| 2 | 199, 494, 338, 431, 299 |
| 13 | 199, 247, 169, 431, 299 |
| 199, 19, 13, 431, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 199 x 19 x 13 x 431 x 23 = 25337191828
Therefore, the lowest common multiple of 199,988,676,431,299 is 25337191828.
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.
199 x 988 x 676 x 431 x 299 = 17127941675728
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.
199 : 1, 199
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
431 : 1, 431
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,988,676,431,299, is 1.
Now, the common factors can be found like this.
199:199
988:2x 2x 13x 19
676:2x 2x 13x 13
431:431
299:13x 23
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 17127941675728/(1x676)
LCM = 17127941675728/676
LCM = 25337191828
Thus, we can understand that the LCM of 199,988,676,431,299 is 25337191828.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 199, 988, 676, 431, 299
1. What is the LCM of 199, 988, 676, 431, 299?
Answer: LCM of 199, 988, 676, 431, 299 is 25337191828.
2. How to calculate the LCM of 199, 988, 676, 431, 299?
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 199, 988, 676, 431, 299.
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}.