Find the LCM of 233, 935, 224, 245, 968 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 233, 935, 224, 245, 968. So, keep reading to learn more.
Given numbers are 233,935,224,245,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,935,224,245,968 is 3757563040.
Find LCM of 233,935,224,245,968 with Prime Factorization
2 | 233, 935, 224, 245, 968 |
2 | 233, 935, 112, 245, 484 |
2 | 233, 935, 56, 245, 242 |
5 | 233, 935, 28, 245, 121 |
7 | 233, 187, 28, 49, 121 |
11 | 233, 187, 4, 7, 121 |
233, 17, 4, 7, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 11 x 233 x 17 x 4 x 7 x 11 = 3757563040
Therefore, the lowest common multiple of 233,935,224,245,968 is 3757563040.
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.
233 x 935 x 224 x 245 x 968 = 11573294163200
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.
233 : 1, 233
935 : 1, 5, 11, 17, 55, 85, 187, 935
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
245 : 1, 5, 7, 35, 49, 245
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,935,224,245,968, is 1.
Now, the common factors can be found like this.
233:233
935:5x 11x 17
224:2x 2x 2x 2x 2x 7
245:5x 7x 7
968:2x 2x 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 5x 7x 11 = 3080
Therefore, the value for common factors is 3080.
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 = 11573294163200/(1x3080)
LCM = 11573294163200/3080
LCM = 3757563040
Thus, we can understand that the LCM of 233,935,224,245,968 is 3757563040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 233, 935, 224, 245, 968?
Answer: LCM of 233, 935, 224, 245, 968 is 3757563040.
2. How to calculate the LCM of 233, 935, 224, 245, 968?
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 233, 935, 224, 245, 968.
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}.