Find the LCM of 327, 696, 528, 656 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, 696, 528, 656. So, keep reading to learn more.
Given numbers are 327,696,528,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,696,528,656 is 68429328.
Find LCM of 327,696,528,656 with Prime Factorization
2 | 327, 696, 528, 656 |
2 | 327, 348, 264, 328 |
2 | 327, 174, 132, 164 |
2 | 327, 87, 66, 82 |
3 | 327, 87, 33, 41 |
109, 29, 11, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 109 x 29 x 11 x 41 = 68429328
Therefore, the lowest common multiple of 327,696,528,656 is 68429328.
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 696 x 528 x 656 = 78830585856
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
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,696,528,656, is 1.
Now, the common factors can be found like this.
327:3x 109
696:2x 2x 2x 3x 29
528:2x 2x 2x 2x 3x 11
656:2x 2x 2x 2x 41
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 2x 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 78830585856/(1x1152)
LCM = 78830585856/1152
LCM = 68429328
Thus, we can understand that the LCM of 327,696,528,656 is 68429328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 327, 696, 528, 656?
Answer: LCM of 327, 696, 528, 656 is 68429328.
2. How to calculate the LCM of 327, 696, 528, 656?
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, 696, 528, 656.
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}.