LCM of 448, 986, 338, 987, 195
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 986, 338, 987, 195 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 448, 986, 338, 987, 195. So, keep reading to learn more.
Given numbers are 448,986,338,987,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,986,338,987,195 is 26314841280.
Find LCM of 448,986,338,987,195 with Prime Factorization
| 2 | 448, 986, 338, 987, 195 |
| 3 | 224, 493, 169, 987, 195 |
| 7 | 224, 493, 169, 329, 65 |
| 13 | 32, 493, 169, 47, 65 |
| 32, 493, 13, 47, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 32 x 493 x 13 x 47 x 5 = 26314841280
Therefore, the lowest common multiple of 448,986,338,987,195 is 26314841280.
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.
448 x 986 x 338 x 987 x 195 = 28735806677760
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
986 : 1, 2, 17, 29, 34, 58, 493, 986
338 : 1, 2, 13, 26, 169, 338
987 : 1, 3, 7, 21, 47, 141, 329, 987
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,986,338,987,195, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
986:2x 17x 29
338:2x 13x 13
987:3x 7x 47
195:3x 5x 13
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 3x 7x 13 = 1092
Therefore, the value for common factors is 1092.
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 = 28735806677760/(1x1092)
LCM = 28735806677760/1092
LCM = 26314841280
Thus, we can understand that the LCM of 448,986,338,987,195 is 26314841280.
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FAQs on LCM of 448, 986, 338, 987, 195
1. What is the LCM of 448, 986, 338, 987, 195?
Answer: LCM of 448, 986, 338, 987, 195 is 26314841280.
2. How to calculate the LCM of 448, 986, 338, 987, 195?
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 448, 986, 338, 987, 195.
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}.