Find the LCM of 787, 286, 208, 240 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 787, 286, 208, 240. So, keep reading to learn more.
Given numbers are 787,286,208,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,286,208,240 is 27009840.
Find LCM of 787,286,208,240 with Prime Factorization
2 | 787, 286, 208, 240 |
2 | 787, 143, 104, 120 |
2 | 787, 143, 52, 60 |
2 | 787, 143, 26, 30 |
13 | 787, 143, 13, 15 |
787, 11, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 787 x 11 x 1 x 15 = 27009840
Therefore, the lowest common multiple of 787,286,208,240 is 27009840.
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.
787 x 286 x 208 x 240 = 11236093440
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.
787 : 1, 787
286 : 1, 2, 11, 13, 22, 26, 143, 286
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,286,208,240, is 1.
Now, the common factors can be found like this.
787:787
286:2x 11x 13
208:2x 2x 2x 2x 13
240:2x 2x 2x 2x 3x 5
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 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 11236093440/(1x416)
LCM = 11236093440/416
LCM = 27009840
Thus, we can understand that the LCM of 787,286,208,240 is 27009840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 787, 286, 208, 240?
Answer: LCM of 787, 286, 208, 240 is 27009840.
2. How to calculate the LCM of 787, 286, 208, 240?
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 787, 286, 208, 240.
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}.