Find the LCM of 873, 398, 486, 268, 340 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 873, 398, 486, 268, 340. So, keep reading to learn more.
Given numbers are 873,398,486,268,340
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 873,398,486,268,340 is 106852528620.
Find LCM of 873,398,486,268,340 with Prime Factorization
2 | 873, 398, 486, 268, 340 |
2 | 873, 199, 243, 134, 170 |
3 | 873, 199, 243, 67, 85 |
3 | 291, 199, 81, 67, 85 |
97, 199, 27, 67, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 97 x 199 x 27 x 67 x 85 = 106852528620
Therefore, the lowest common multiple of 873,398,486,268,340 is 106852528620.
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.
873 x 398 x 486 x 268 x 340 = 15386764121280
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.
873 : 1, 3, 9, 97, 291, 873
398 : 1, 2, 199, 398
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
268 : 1, 2, 4, 67, 134, 268
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,398,486,268,340, is 1.
Now, the common factors can be found like this.
873:3x 3x 97
398:2x 199
486:2x 3x 3x 3x 3x 3
268:2x 2x 67
340:2x 2x 5x 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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 15386764121280/(1x144)
LCM = 15386764121280/144
LCM = 106852528620
Thus, we can understand that the LCM of 873,398,486,268,340 is 106852528620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 873, 398, 486, 268, 340?
Answer: LCM of 873, 398, 486, 268, 340 is 106852528620.
2. How to calculate the LCM of 873, 398, 486, 268, 340?
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 873, 398, 486, 268, 340.
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}.