LCM of 296, 148, 205, 888
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 148, 205, 888 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 296, 148, 205, 888. So, keep reading to learn more.
Given numbers are 296,148,205,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,148,205,888 is 182040.
Find LCM of 296,148,205,888 with Prime Factorization
| 2 | 296, 148, 205, 888 |
| 2 | 148, 74, 205, 444 |
| 2 | 37, 74, 205, 222 |
| 37 | 37, 37, 205, 111 |
| 1, 1, 205, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 37 x 1 x 1 x 205 x 3 = 182040
Therefore, the lowest common multiple of 296,148,205,888 is 182040.
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.
296 x 148 x 205 x 888 = 7974808320
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
148 : 1, 2, 4, 37, 74, 148
205 : 1, 5, 41, 205
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,148,205,888, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
148:2x 2x 37
205:5x 41
888:2x 2x 2x 3x 37
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 37x 37 = 43808
Therefore, the value for common factors is 43808.
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 = 7974808320/(1x43808)
LCM = 7974808320/43808
LCM = 182040
Thus, we can understand that the LCM of 296,148,205,888 is 182040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 296, 148, 205, 888
1. What is the LCM of 296, 148, 205, 888?
Answer: LCM of 296, 148, 205, 888 is 182040.
2. How to calculate the LCM of 296, 148, 205, 888?
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 296, 148, 205, 888.
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}.