Find the LCM of 968, 916, 129, 546, 238 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, 916, 129, 546, 238. So, keep reading to learn more.
Given numbers are 968,916,129,546,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 968,916,129,546,238 is 44237529336.
Find LCM of 968,916,129,546,238 with Prime Factorization
2 | 968, 916, 129, 546, 238 |
2 | 484, 458, 129, 273, 119 |
3 | 242, 229, 129, 273, 119 |
7 | 242, 229, 43, 91, 119 |
242, 229, 43, 13, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 242 x 229 x 43 x 13 x 17 = 44237529336
Therefore, the lowest common multiple of 968,916,129,546,238 is 44237529336.
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 916 x 129 x 546 x 238 = 14863809856896
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
916 : 1, 2, 4, 229, 458, 916
129 : 1, 3, 43, 129
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
238 : 1, 2, 7, 14, 17, 34, 119, 238
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,916,129,546,238, is 1.
Now, the common factors can be found like this.
968:2x 2x 2x 11x 11
916:2x 2x 229
129:3x 43
546:2x 3x 7x 13
238:2x 7x 17
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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 14863809856896/(1x336)
LCM = 14863809856896/336
LCM = 44237529336
Thus, we can understand that the LCM of 968,916,129,546,238 is 44237529336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 968, 916, 129, 546, 238?
Answer: LCM of 968, 916, 129, 546, 238 is 44237529336.
2. How to calculate the LCM of 968, 916, 129, 546, 238?
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, 916, 129, 546, 238.
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}.