Find the LCM of 367, 922, 815, 922, 362 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 367, 922, 815, 922, 362. So, keep reading to learn more.
Given numbers are 367,922,815,922,362
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,922,815,922,362 is 49915240610.
Find LCM of 367,922,815,922,362 with Prime Factorization
2 | 367, 922, 815, 922, 362 |
461 | 367, 461, 815, 461, 181 |
367, 1, 815, 1, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 461 x 367 x 1 x 815 x 1 x 181 = 49915240610
Therefore, the lowest common multiple of 367,922,815,922,362 is 49915240610.
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.
367 x 922 x 815 x 922 x 362 = 92043703684840
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.
367 : 1, 367
922 : 1, 2, 461, 922
815 : 1, 5, 163, 815
922 : 1, 2, 461, 922
362 : 1, 2, 181, 362
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,922,815,922,362, is 1.
Now, the common factors can be found like this.
367:367
922:2x 461
815:5x 163
922:2x 461
362:2x 181
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 461 = 1844
Therefore, the value for common factors is 1844.
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 = 92043703684840/(1x1844)
LCM = 92043703684840/1844
LCM = 49915240610
Thus, we can understand that the LCM of 367,922,815,922,362 is 49915240610.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 367, 922, 815, 922, 362?
Answer: LCM of 367, 922, 815, 922, 362 is 49915240610.
2. How to calculate the LCM of 367, 922, 815, 922, 362?
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 367, 922, 815, 922, 362.
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}.