Find the LCM of 968, 135, 901, 121 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 968, 135, 901, 121. So, keep reading to learn more.
Given numbers are 968,135,901,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 968,135,901,121 is 117742680.
Find LCM of 968,135,901,121 with Prime Factorization
11 | 968, 135, 901, 121 |
11 | 88, 135, 901, 11 |
8, 135, 901, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 11 x 8 x 135 x 901 x 1 = 117742680
Therefore, the lowest common multiple of 968,135,901,121 is 117742680.
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.
968 x 135 x 901 x 121 = 14246864280
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.
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
135 : 1, 3, 5, 9, 15, 27, 45, 135
901 : 1, 17, 53, 901
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,135,901,121, is 1.
Now, the common factors can be found like this.
968:2x 2x 2x 11x 11
135:3x 3x 3x 5
901:17x 53
121:11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 14246864280/(1x121)
LCM = 14246864280/121
LCM = 117742680
Thus, we can understand that the LCM of 968,135,901,121 is 117742680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 968, 135, 901, 121?
Answer: LCM of 968, 135, 901, 121 is 117742680.
2. How to calculate the LCM of 968, 135, 901, 121?
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 968, 135, 901, 121.
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}.