Find the LCM of 378, 528, 806, 304, 781 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 378, 528, 806, 304, 781. So, keep reading to learn more.
Given numbers are 378,528,806,304,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,528,806,304,781 is 18083873808.
Find LCM of 378,528,806,304,781 with Prime Factorization
2 | 378, 528, 806, 304, 781 |
2 | 189, 264, 403, 152, 781 |
2 | 189, 132, 403, 76, 781 |
2 | 189, 66, 403, 38, 781 |
3 | 189, 33, 403, 19, 781 |
11 | 63, 11, 403, 19, 781 |
63, 1, 403, 19, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 63 x 1 x 403 x 19 x 71 = 18083873808
Therefore, the lowest common multiple of 378,528,806,304,781 is 18083873808.
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.
378 x 528 x 806 x 304 x 781 = 38193141482496
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.
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
806 : 1, 2, 13, 26, 31, 62, 403, 806
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,528,806,304,781, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
528:2x 2x 2x 2x 3x 11
806:2x 13x 31
304:2x 2x 2x 2x 19
781:11x 71
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 2x 3x 11 = 2112
Therefore, the value for common factors is 2112.
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 = 38193141482496/(1x2112)
LCM = 38193141482496/2112
LCM = 18083873808
Thus, we can understand that the LCM of 378,528,806,304,781 is 18083873808.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 378, 528, 806, 304, 781?
Answer: LCM of 378, 528, 806, 304, 781 is 18083873808.
2. How to calculate the LCM of 378, 528, 806, 304, 781?
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 378, 528, 806, 304, 781.
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}.