LCM of 398, 717, 372, 434, 706
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 717, 372, 434, 706 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, 717, 372, 434, 706. So, keep reading to learn more.
Given numbers are 398,717,372,434,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,717,372,434,706 is 43718641932.
Find LCM of 398,717,372,434,706 with Prime Factorization
| 2 | 398, 717, 372, 434, 706 |
| 3 | 199, 717, 186, 217, 353 |
| 31 | 199, 239, 62, 217, 353 |
| 199, 239, 2, 7, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 199 x 239 x 2 x 7 x 353 = 43718641932
Therefore, the lowest common multiple of 398,717,372,434,706 is 43718641932.
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 717 x 372 x 434 x 706 = 32526669597408
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
717 : 1, 3, 239, 717
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
434 : 1, 2, 7, 14, 31, 62, 217, 434
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,717,372,434,706, is 1.
Now, the common factors can be found like this.
398:2x 199
717:3x 239
372:2x 2x 3x 31
434:2x 7x 31
706:2x 353
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 3x 31 = 744
Therefore, the value for common factors is 744.
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 = 32526669597408/(1x744)
LCM = 32526669597408/744
LCM = 43718641932
Thus, we can understand that the LCM of 398,717,372,434,706 is 43718641932.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 398, 717, 372, 434, 706
1. What is the LCM of 398, 717, 372, 434, 706?
Answer: LCM of 398, 717, 372, 434, 706 is 43718641932.
2. How to calculate the LCM of 398, 717, 372, 434, 706?
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, 717, 372, 434, 706.
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}.