Find the LCM of 954, 341, 338, 338, 238 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 954, 341, 338, 338, 238. So, keep reading to learn more.
Given numbers are 954,341,338,338,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,341,338,338,238 is 6542389854.
Find LCM of 954,341,338,338,238 with Prime Factorization
2 | 954, 341, 338, 338, 238 |
13 | 477, 341, 169, 169, 119 |
13 | 477, 341, 13, 13, 119 |
477, 341, 1, 1, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 477 x 341 x 1 x 1 x 119 = 6542389854
Therefore, the lowest common multiple of 954,341,338,338,238 is 6542389854.
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.
954 x 341 x 338 x 338 x 238 = 8845311082608
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
341 : 1, 11, 31, 341
338 : 1, 2, 13, 26, 169, 338
338 : 1, 2, 13, 26, 169, 338
238 : 1, 2, 7, 14, 17, 34, 119, 238
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,341,338,338,238, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
341:11x 31
338:2x 13x 13
338:2x 13x 13
238:2x 7x 17
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 13x 13 = 1352
Therefore, the value for common factors is 1352.
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 = 8845311082608/(1x1352)
LCM = 8845311082608/1352
LCM = 6542389854
Thus, we can understand that the LCM of 954,341,338,338,238 is 6542389854.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 954, 341, 338, 338, 238?
Answer: LCM of 954, 341, 338, 338, 238 is 6542389854.
2. How to calculate the LCM of 954, 341, 338, 338, 238?
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 954, 341, 338, 338, 238.
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}.