Find the LCM of 104, 787, 203, 286, 242 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 104, 787, 203, 286, 242. So, keep reading to learn more.
Given numbers are 104,787,203,286,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,787,203,286,242 is 2010432424.
Find LCM of 104,787,203,286,242 with Prime Factorization
2 | 104, 787, 203, 286, 242 |
11 | 52, 787, 203, 143, 121 |
13 | 52, 787, 203, 13, 11 |
4, 787, 203, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 4 x 787 x 203 x 1 x 11 = 2010432424
Therefore, the lowest common multiple of 104,787,203,286,242 is 2010432424.
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.
104 x 787 x 203 x 286 x 242 = 1149967346528
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
787 : 1, 787
203 : 1, 7, 29, 203
286 : 1, 2, 11, 13, 22, 26, 143, 286
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,787,203,286,242, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
787:787
203:7x 29
286:2x 11x 13
242:2x 11x 11
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 11x 13 = 572
Therefore, the value for common factors is 572.
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 = 1149967346528/(1x572)
LCM = 1149967346528/572
LCM = 2010432424
Thus, we can understand that the LCM of 104,787,203,286,242 is 2010432424.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 104, 787, 203, 286, 242?
Answer: LCM of 104, 787, 203, 286, 242 is 2010432424.
2. How to calculate the LCM of 104, 787, 203, 286, 242?
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 104, 787, 203, 286, 242.
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}.