Find the LCM of 408, 815, 660, 342, 241 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 408, 815, 660, 342, 241. So, keep reading to learn more.
Given numbers are 408,815,660,342,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,815,660,342,241 is 50246099640.
Find LCM of 408,815,660,342,241 with Prime Factorization
2 | 408, 815, 660, 342, 241 |
2 | 204, 815, 330, 171, 241 |
3 | 102, 815, 165, 171, 241 |
5 | 34, 815, 55, 57, 241 |
34, 163, 11, 57, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 34 x 163 x 11 x 57 x 241 = 50246099640
Therefore, the lowest common multiple of 408,815,660,342,241 is 50246099640.
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.
408 x 815 x 660 x 342 x 241 = 18088595870400
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
815 : 1, 5, 163, 815
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,815,660,342,241, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
815:5x 163
660:2x 2x 3x 5x 11
342:2x 3x 3x 19
241:241
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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 18088595870400/(1x360)
LCM = 18088595870400/360
LCM = 50246099640
Thus, we can understand that the LCM of 408,815,660,342,241 is 50246099640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 408, 815, 660, 342, 241?
Answer: LCM of 408, 815, 660, 342, 241 is 50246099640.
2. How to calculate the LCM of 408, 815, 660, 342, 241?
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 408, 815, 660, 342, 241.
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}.