Find the LCM of 327, 568, 836, 726 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 327, 568, 836, 726. So, keep reading to learn more.
Given numbers are 327,568,836,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,568,836,726 is 427007064.
Find LCM of 327,568,836,726 with Prime Factorization
2 | 327, 568, 836, 726 |
2 | 327, 284, 418, 363 |
3 | 327, 142, 209, 363 |
11 | 109, 142, 209, 121 |
109, 142, 19, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 109 x 142 x 19 x 11 = 427007064
Therefore, the lowest common multiple of 327,568,836,726 is 427007064.
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.
327 x 568 x 836 x 726 = 112729864896
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.
327 : 1, 3, 109, 327
568 : 1, 2, 4, 8, 71, 142, 284, 568
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,568,836,726, is 1.
Now, the common factors can be found like this.
327:3x 109
568:2x 2x 2x 71
836:2x 2x 11x 19
726:2x 3x 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 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 112729864896/(1x264)
LCM = 112729864896/264
LCM = 427007064
Thus, we can understand that the LCM of 327,568,836,726 is 427007064.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 327, 568, 836, 726?
Answer: LCM of 327, 568, 836, 726 is 427007064.
2. How to calculate the LCM of 327, 568, 836, 726?
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 327, 568, 836, 726.
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}.