Find the LCM of 125, 569, 264, 960 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 125, 569, 264, 960. So, keep reading to learn more.
Given numbers are 125,569,264,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,569,264,960 is 150216000.
Find LCM of 125,569,264,960 with Prime Factorization
2 | 125, 569, 264, 960 |
2 | 125, 569, 132, 480 |
2 | 125, 569, 66, 240 |
3 | 125, 569, 33, 120 |
5 | 125, 569, 11, 40 |
25, 569, 11, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 25 x 569 x 11 x 8 = 150216000
Therefore, the lowest common multiple of 125,569,264,960 is 150216000.
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.
125 x 569 x 264 x 960 = 18025920000
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.
125 : 1, 5, 25, 125
569 : 1, 569
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,569,264,960, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
569:569
264:2x 2x 2x 3x 11
960:2x 2x 2x 2x 2x 2x 3x 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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 18025920000/(1x120)
LCM = 18025920000/120
LCM = 150216000
Thus, we can understand that the LCM of 125,569,264,960 is 150216000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 125, 569, 264, 960?
Answer: LCM of 125, 569, 264, 960 is 150216000.
2. How to calculate the LCM of 125, 569, 264, 960?
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 125, 569, 264, 960.
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}.