Find the LCM of 960, 542, 227, 224, 242 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 960, 542, 227, 224, 242. So, keep reading to learn more.
Given numbers are 960,542,227,224,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,542,227,224,242 is 50020703040.
Find LCM of 960,542,227,224,242 with Prime Factorization
2 | 960, 542, 227, 224, 242 |
2 | 480, 271, 227, 112, 121 |
2 | 240, 271, 227, 56, 121 |
2 | 120, 271, 227, 28, 121 |
2 | 60, 271, 227, 14, 121 |
30, 271, 227, 7, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 30 x 271 x 227 x 7 x 121 = 50020703040
Therefore, the lowest common multiple of 960,542,227,224,242 is 50020703040.
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.
960 x 542 x 227 x 224 x 242 = 6402649989120
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.
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
542 : 1, 2, 271, 542
227 : 1, 227
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,542,227,224,242, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
542:2x 271
227:227
224:2x 2x 2x 2x 2x 7
242:2x 11x 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 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 6402649989120/(1x128)
LCM = 6402649989120/128
LCM = 50020703040
Thus, we can understand that the LCM of 960,542,227,224,242 is 50020703040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 960, 542, 227, 224, 242?
Answer: LCM of 960, 542, 227, 224, 242 is 50020703040.
2. How to calculate the LCM of 960, 542, 227, 224, 242?
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 960, 542, 227, 224, 242.
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}.