LCM of 925, 629, 998, 299, 377
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 925, 629, 998, 299, 377 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 925, 629, 998, 299, 377. So, keep reading to learn more.
Given numbers are 925,629,998,299,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,629,998,299,377 is 136078772050.
Find LCM of 925,629,998,299,377 with Prime Factorization
| 13 | 925, 629, 998, 299, 377 |
| 37 | 925, 629, 998, 23, 29 |
| 25, 17, 998, 23, 29 |
Multiply the prime numbers at the bottom and the left side.
13 x 37 x 25 x 17 x 998 x 23 x 29 = 136078772050
Therefore, the lowest common multiple of 925,629,998,299,377 is 136078772050.
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.
925 x 629 x 998 x 299 x 377 = 65453889356050
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.
925 : 1, 5, 25, 37, 185, 925
629 : 1, 17, 37, 629
998 : 1, 2, 499, 998
299 : 1, 13, 23, 299
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,629,998,299,377, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
629:17x 37
998:2x 499
299:13x 23
377:13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 37 = 481
Therefore, the value for common factors is 481.
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 = 65453889356050/(1x481)
LCM = 65453889356050/481
LCM = 136078772050
Thus, we can understand that the LCM of 925,629,998,299,377 is 136078772050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 925, 629, 998, 299, 377
1. What is the LCM of 925, 629, 998, 299, 377?
Answer: LCM of 925, 629, 998, 299, 377 is 136078772050.
2. How to calculate the LCM of 925, 629, 998, 299, 377?
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 925, 629, 998, 299, 377.
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}.