Find the LCM of 528, 326, 990, 615, 652 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, 326, 990, 615, 652. So, keep reading to learn more.
Given numbers are 528,326,990,615,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,326,990,615,652 is 52929360.
Find LCM of 528,326,990,615,652 with Prime Factorization
2 | 528, 326, 990, 615, 652 |
2 | 264, 163, 495, 615, 326 |
3 | 132, 163, 495, 615, 163 |
5 | 44, 163, 165, 205, 163 |
11 | 44, 163, 33, 41, 163 |
163 | 4, 163, 3, 41, 163 |
4, 1, 3, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 163 x 4 x 1 x 3 x 41 x 1 = 52929360
Therefore, the lowest common multiple of 528,326,990,615,652 is 52929360.
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 326 x 990 x 615 x 652 = 68329686585600
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
326 : 1, 2, 163, 326
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
615 : 1, 3, 5, 15, 41, 123, 205, 615
652 : 1, 2, 4, 163, 326, 652
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,326,990,615,652, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
326:2x 163
990:2x 3x 3x 5x 11
615:3x 5x 41
652:2x 2x 163
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 3x 3x 5x 11x 163 = 1290960
Therefore, the value for common factors is 1290960.
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 = 68329686585600/(1x1290960)
LCM = 68329686585600/1290960
LCM = 52929360
Thus, we can understand that the LCM of 528,326,990,615,652 is 52929360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 528, 326, 990, 615, 652?
Answer: LCM of 528, 326, 990, 615, 652 is 52929360.
2. How to calculate the LCM of 528, 326, 990, 615, 652?
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, 326, 990, 615, 652.
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}.