Find the LCM of 379, 338, 845, 351, 269 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 379, 338, 845, 351, 269. So, keep reading to learn more.
Given numbers are 379,338,845,351,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,338,845,351,269 is 4652024130.
Find LCM of 379,338,845,351,269 with Prime Factorization
13 | 379, 338, 845, 351, 269 |
13 | 379, 26, 65, 27, 269 |
379, 2, 5, 27, 269 |
Multiply the prime numbers at the bottom and the left side.
13 x 13 x 379 x 2 x 5 x 27 x 269 = 4652024130
Therefore, the lowest common multiple of 379,338,845,351,269 is 4652024130.
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.
379 x 338 x 845 x 351 x 269 = 10220497013610
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.
379 : 1, 379
338 : 1, 2, 13, 26, 169, 338
845 : 1, 5, 13, 65, 169, 845
351 : 1, 3, 9, 13, 27, 39, 117, 351
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,338,845,351,269, is 1.
Now, the common factors can be found like this.
379:379
338:2x 13x 13
845:5x 13x 13
351:3x 3x 3x 13
269:269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13x 13 = 2197
Therefore, the value for common factors is 2197.
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 = 10220497013610/(1x2197)
LCM = 10220497013610/2197
LCM = 4652024130
Thus, we can understand that the LCM of 379,338,845,351,269 is 4652024130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 379, 338, 845, 351, 269?
Answer: LCM of 379, 338, 845, 351, 269 is 4652024130.
2. How to calculate the LCM of 379, 338, 845, 351, 269?
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 379, 338, 845, 351, 269.
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}.