LCM of 398, 294, 932, 502, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 294, 932, 502, 882 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, 294, 932, 502, 882. So, keep reading to learn more.
Given numbers are 398,294,932,502,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,294,932,502,882 is 20529638388.
Find LCM of 398,294,932,502,882 with Prime Factorization
| 2 | 398, 294, 932, 502, 882 |
| 3 | 199, 147, 466, 251, 441 |
| 7 | 199, 49, 466, 251, 147 |
| 7 | 199, 7, 466, 251, 21 |
| 199, 1, 466, 251, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 199 x 1 x 466 x 251 x 3 = 20529638388
Therefore, the lowest common multiple of 398,294,932,502,882 is 20529638388.
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 294 x 932 x 502 x 882 = 48285709488576
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
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
932 : 1, 2, 4, 233, 466, 932
502 : 1, 2, 251, 502
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,294,932,502,882, is 2.
Now, the common factors can be found like this.
398:2x 199
294:2x 3x 7x 7
932:2x 2x 233
502:2x 251
882:2x 3x 3x 7x 7
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 7x 7 = 1176
Therefore, the value for common factors is 1176.
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 = 48285709488576/(2x1176)
LCM = 48285709488576/2352
LCM = 20529638388
Thus, we can understand that the LCM of 398,294,932,502,882 is 20529638388.
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, 294, 932, 502, 882
1. What is the LCM of 398, 294, 932, 502, 882?
Answer: LCM of 398, 294, 932, 502, 882 is 20529638388.
2. How to calculate the LCM of 398, 294, 932, 502, 882?
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, 294, 932, 502, 882.
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}.