LCM of 398, 754, 494, 171, 913
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 754, 494, 171, 913 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 398, 754, 494, 171, 913. So, keep reading to learn more.
Given numbers are 398,754,494,171,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,754,494,171,913 is 23425631658.
Find LCM of 398,754,494,171,913 with Prime Factorization
| 2 | 398, 754, 494, 171, 913 |
| 13 | 199, 377, 247, 171, 913 |
| 19 | 199, 29, 19, 171, 913 |
| 199, 29, 1, 9, 913 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 199 x 29 x 1 x 9 x 913 = 23425631658
Therefore, the lowest common multiple of 398,754,494,171,913 is 23425631658.
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.
398 x 754 x 494 x 171 x 913 = 23144524078104
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.
398 : 1, 2, 199, 398
754 : 1, 2, 13, 26, 29, 58, 377, 754
494 : 1, 2, 13, 19, 26, 38, 247, 494
171 : 1, 3, 9, 19, 57, 171
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,754,494,171,913, is 1.
Now, the common factors can be found like this.
398:2x 199
754:2x 13x 29
494:2x 13x 19
171:3x 3x 19
913:11x 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 2x 13x 19 = 988
Therefore, the value for common factors is 988.
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 = 23144524078104/(1x988)
LCM = 23144524078104/988
LCM = 23425631658
Thus, we can understand that the LCM of 398,754,494,171,913 is 23425631658.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 398, 754, 494, 171, 913
1. What is the LCM of 398, 754, 494, 171, 913?
Answer: LCM of 398, 754, 494, 171, 913 is 23425631658.
2. How to calculate the LCM of 398, 754, 494, 171, 913?
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 398, 754, 494, 171, 913.
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}.