Find the LCM of 528, 528, 374, 179 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 528, 528, 374, 179. So, keep reading to learn more.
Given numbers are 528,528,374,179
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,528,374,179 is 1606704.
Find LCM of 528,528,374,179 with Prime Factorization
2 | 528, 528, 374, 179 |
2 | 264, 264, 187, 179 |
2 | 132, 132, 187, 179 |
2 | 66, 66, 187, 179 |
3 | 33, 33, 187, 179 |
11 | 11, 11, 187, 179 |
1, 1, 17, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 1 x 1 x 17 x 179 = 1606704
Therefore, the lowest common multiple of 528,528,374,179 is 1606704.
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.
528 x 528 x 374 x 179 = 18663473664
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.
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
374 : 1, 2, 11, 17, 22, 34, 187, 374
179 : 1, 179
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,528,374,179, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
528:2x 2x 2x 2x 3x 11
374:2x 11x 17
179:179
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 3x 11x 11 = 11616
Therefore, the value for common factors is 11616.
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 = 18663473664/(1x11616)
LCM = 18663473664/11616
LCM = 1606704
Thus, we can understand that the LCM of 528,528,374,179 is 1606704.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 528, 528, 374, 179?
Answer: LCM of 528, 528, 374, 179 is 1606704.
2. How to calculate the LCM of 528, 528, 374, 179?
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 528, 528, 374, 179.
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}.