Find the LCM of 528, 220, 332, 640 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, 220, 332, 640. So, keep reading to learn more.
Given numbers are 528,220,332,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,220,332,640 is 1752960.
Find LCM of 528,220,332,640 with Prime Factorization
2 | 528, 220, 332, 640 |
2 | 264, 110, 166, 320 |
2 | 132, 55, 83, 160 |
2 | 66, 55, 83, 80 |
5 | 33, 55, 83, 40 |
11 | 33, 11, 83, 8 |
3, 1, 83, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 11 x 3 x 1 x 83 x 8 = 1752960
Therefore, the lowest common multiple of 528,220,332,640 is 1752960.
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 220 x 332 x 640 = 24681676800
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
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
332 : 1, 2, 4, 83, 166, 332
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,220,332,640, is 4.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
220:2x 2x 5x 11
332:2x 2x 83
640:2x 2x 2x 2x 2x 2x 2x 5
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 5x 11 = 3520
Therefore, the value for common factors is 3520.
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 = 24681676800/(4x3520)
LCM = 24681676800/14080
LCM = 1752960
Thus, we can understand that the LCM of 528,220,332,640 is 1752960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 528, 220, 332, 640?
Answer: LCM of 528, 220, 332, 640 is 1752960.
2. How to calculate the LCM of 528, 220, 332, 640?
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, 220, 332, 640.
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}.