LCM of 398, 956, 957, 717, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 956, 957, 717, 722 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, 956, 957, 717, 722. So, keep reading to learn more.
Given numbers are 398,956,957,717,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,956,957,717,722 is 65724926388.
Find LCM of 398,956,957,717,722 with Prime Factorization
| 2 | 398, 956, 957, 717, 722 |
| 3 | 199, 478, 957, 717, 361 |
| 239 | 199, 478, 319, 239, 361 |
| 199, 2, 319, 1, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 239 x 199 x 2 x 319 x 1 x 361 = 65724926388
Therefore, the lowest common multiple of 398,956,957,717,722 is 65724926388.
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 956 x 957 x 717 x 722 = 188499088880784
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
956 : 1, 2, 4, 239, 478, 956
957 : 1, 3, 11, 29, 33, 87, 319, 957
717 : 1, 3, 239, 717
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,956,957,717,722, is 1.
Now, the common factors can be found like this.
398:2x 199
956:2x 2x 239
957:3x 11x 29
717:3x 239
722:2x 19x 19
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 3x 239 = 2868
Therefore, the value for common factors is 2868.
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 = 188499088880784/(1x2868)
LCM = 188499088880784/2868
LCM = 65724926388
Thus, we can understand that the LCM of 398,956,957,717,722 is 65724926388.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 398, 956, 957, 717, 722
1. What is the LCM of 398, 956, 957, 717, 722?
Answer: LCM of 398, 956, 957, 717, 722 is 65724926388.
2. How to calculate the LCM of 398, 956, 957, 717, 722?
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, 956, 957, 717, 722.
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}.