Find the LCM of 599, 768, 888, 220 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 599, 768, 888, 220. So, keep reading to learn more.
Given numbers are 599,768,888,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,768,888,220 is 936165120.
Find LCM of 599,768,888,220 with Prime Factorization
2 | 599, 768, 888, 220 |
2 | 599, 384, 444, 110 |
2 | 599, 192, 222, 55 |
3 | 599, 96, 111, 55 |
599, 32, 37, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 599 x 32 x 37 x 55 = 936165120
Therefore, the lowest common multiple of 599,768,888,220 is 936165120.
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.
599 x 768 x 888 x 220 = 89871851520
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.
599 : 1, 599
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,768,888,220, is 1.
Now, the common factors can be found like this.
599:599
768:2x 2x 2x 2x 2x 2x 2x 2x 3
888:2x 2x 2x 3x 37
220:2x 2x 5x 11
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 3 = 96
Therefore, the value for common factors is 96.
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 = 89871851520/(1x96)
LCM = 89871851520/96
LCM = 936165120
Thus, we can understand that the LCM of 599,768,888,220 is 936165120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 599, 768, 888, 220?
Answer: LCM of 599, 768, 888, 220 is 936165120.
2. How to calculate the LCM of 599, 768, 888, 220?
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 599, 768, 888, 220.
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}.