LCM of 398, 635, 525, 469, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 635, 525, 469, 214 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, 635, 525, 469, 214. So, keep reading to learn more.
Given numbers are 398,635,525,469,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,635,525,469,214 is 190241243850.
Find LCM of 398,635,525,469,214 with Prime Factorization
| 2 | 398, 635, 525, 469, 214 |
| 5 | 199, 635, 525, 469, 107 |
| 7 | 199, 127, 105, 469, 107 |
| 199, 127, 15, 67, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 199 x 127 x 15 x 67 x 107 = 190241243850
Therefore, the lowest common multiple of 398,635,525,469,214 is 190241243850.
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 635 x 525 x 469 x 214 = 13316887069500
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
635 : 1, 5, 127, 635
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
469 : 1, 7, 67, 469
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,635,525,469,214, is 1.
Now, the common factors can be found like this.
398:2x 199
635:5x 127
525:3x 5x 5x 7
469:7x 67
214:2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7 = 70
Therefore, the value for common factors is 70.
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 = 13316887069500/(1x70)
LCM = 13316887069500/70
LCM = 190241243850
Thus, we can understand that the LCM of 398,635,525,469,214 is 190241243850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 398, 635, 525, 469, 214
1. What is the LCM of 398, 635, 525, 469, 214?
Answer: LCM of 398, 635, 525, 469, 214 is 190241243850.
2. How to calculate the LCM of 398, 635, 525, 469, 214?
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, 635, 525, 469, 214.
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}.