Find the LCM of 144, 961, 422, 124 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 144, 961, 422, 124. So, keep reading to learn more.
Given numbers are 144,961,422,124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,961,422,124 is 29199024.
Find LCM of 144,961,422,124 with Prime Factorization
2 | 144, 961, 422, 124 |
2 | 72, 961, 211, 62 |
31 | 36, 961, 211, 31 |
36, 1, 211, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 36 x 1 x 211 x 31 = 29199024
Therefore, the lowest common multiple of 144,961,422,124 is 29199024.
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.
144 x 961 x 422 x 124 = 7241357952
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
961 : 1, 31, 961
422 : 1, 2, 211, 422
124 : 1, 2, 4, 31, 62, 124
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,961,422,124, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
961:31x 31
422:2x 211
124:2x 2x 31
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 31 = 248
Therefore, the value for common factors is 248.
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 = 7241357952/(1x248)
LCM = 7241357952/248
LCM = 29199024
Thus, we can understand that the LCM of 144,961,422,124 is 29199024.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 144, 961, 422, 124?
Answer: LCM of 144, 961, 422, 124 is 29199024.
2. How to calculate the LCM of 144, 961, 422, 124?
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 144, 961, 422, 124.
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}.