Find the LCM of 781, 286, 627, 342 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 781, 286, 627, 342. So, keep reading to learn more.
Given numbers are 781,286,627,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,286,627,342 is 3472326.
Find LCM of 781,286,627,342 with Prime Factorization
2 | 781, 286, 627, 342 |
3 | 781, 143, 627, 171 |
11 | 781, 143, 209, 57 |
19 | 71, 13, 19, 57 |
71, 13, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 71 x 13 x 1 x 3 = 3472326
Therefore, the lowest common multiple of 781,286,627,342 is 3472326.
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.
781 x 286 x 627 x 342 = 47897264844
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.
781 : 1, 11, 71, 781
286 : 1, 2, 11, 13, 22, 26, 143, 286
627 : 1, 3, 11, 19, 33, 57, 209, 627
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,286,627,342, is 1.
Now, the common factors can be found like this.
781:11x 71
286:2x 11x 13
627:3x 11x 19
342:2x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 11x 19 = 13794
Therefore, the value for common factors is 13794.
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 = 47897264844/(1x13794)
LCM = 47897264844/13794
LCM = 3472326
Thus, we can understand that the LCM of 781,286,627,342 is 3472326.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 781, 286, 627, 342?
Answer: LCM of 781, 286, 627, 342 is 3472326.
2. How to calculate the LCM of 781, 286, 627, 342?
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 781, 286, 627, 342.
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}.