Find the LCM of 557, 528, 308, 324, 252 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 557, 528, 308, 324, 252. So, keep reading to learn more.
Given numbers are 557,528,308,324,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,528,308,324,252 is 55584144.
Find LCM of 557,528,308,324,252 with Prime Factorization
2 | 557, 528, 308, 324, 252 |
2 | 557, 264, 154, 162, 126 |
3 | 557, 132, 77, 81, 63 |
3 | 557, 44, 77, 27, 21 |
7 | 557, 44, 77, 9, 7 |
11 | 557, 44, 11, 9, 1 |
557, 4, 1, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 11 x 557 x 4 x 1 x 9 x 1 = 55584144
Therefore, the lowest common multiple of 557,528,308,324,252 is 55584144.
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.
557 x 528 x 308 x 324 x 252 = 7395803864064
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.
557 : 1, 557
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,528,308,324,252, is 1.
Now, the common factors can be found like this.
557:557
528:2x 2x 2x 2x 3x 11
308:2x 2x 7x 11
324:2x 2x 3x 3x 3x 3
252:2x 2x 3x 3x 7
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 3x 3x 7x 11 = 133056
Therefore, the value for common factors is 133056.
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 = 7395803864064/(1x133056)
LCM = 7395803864064/133056
LCM = 55584144
Thus, we can understand that the LCM of 557,528,308,324,252 is 55584144.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 557, 528, 308, 324, 252?
Answer: LCM of 557, 528, 308, 324, 252 is 55584144.
2. How to calculate the LCM of 557, 528, 308, 324, 252?
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 557, 528, 308, 324, 252.
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}.