Find the LCM of 636, 618, 990, 251, 794 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 636, 618, 990, 251, 794. So, keep reading to learn more.
Given numbers are 636,618,990,251,794
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,618,990,251,794 is 1077066486540.
Find LCM of 636,618,990,251,794 with Prime Factorization
2 | 636, 618, 990, 251, 794 |
3 | 318, 309, 495, 251, 397 |
106, 103, 165, 251, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 106 x 103 x 165 x 251 x 397 = 1077066486540
Therefore, the lowest common multiple of 636,618,990,251,794 is 1077066486540.
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.
636 x 618 x 990 x 251 x 794 = 77548787030880
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
618 : 1, 2, 3, 6, 103, 206, 309, 618
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
251 : 1, 251
794 : 1, 2, 397, 794
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,618,990,251,794, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
618:2x 3x 103
990:2x 3x 3x 5x 11
251:251
794:2x 397
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 3 = 72
Therefore, the value for common factors is 72.
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 = 77548787030880/(1x72)
LCM = 77548787030880/72
LCM = 1077066486540
Thus, we can understand that the LCM of 636,618,990,251,794 is 1077066486540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 636, 618, 990, 251, 794?
Answer: LCM of 636, 618, 990, 251, 794 is 1077066486540.
2. How to calculate the LCM of 636, 618, 990, 251, 794?
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 636, 618, 990, 251, 794.
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}.