LCM of 296, 176, 154, 819, 218
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 176, 154, 819, 218 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, 176, 154, 819, 218. So, keep reading to learn more.
Given numbers are 296,176,154,819,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,176,154,819,218 is 581332752.
Find LCM of 296,176,154,819,218 with Prime Factorization
| 2 | 296, 176, 154, 819, 218 |
| 2 | 148, 88, 77, 819, 109 |
| 2 | 74, 44, 77, 819, 109 |
| 7 | 37, 22, 77, 819, 109 |
| 11 | 37, 22, 11, 117, 109 |
| 37, 2, 1, 117, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 37 x 2 x 1 x 117 x 109 = 581332752
Therefore, the lowest common multiple of 296,176,154,819,218 is 581332752.
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 176 x 154 x 819 x 218 = 1432403900928
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
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
154 : 1, 2, 7, 11, 14, 22, 77, 154
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,176,154,819,218, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
176:2x 2x 2x 2x 11
154:2x 7x 11
819:3x 3x 7x 13
218:2x 109
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 7x 11 = 2464
Therefore, the value for common factors is 2464.
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 = 1432403900928/(1x2464)
LCM = 1432403900928/2464
LCM = 581332752
Thus, we can understand that the LCM of 296,176,154,819,218 is 581332752.
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FAQs on LCM of 296, 176, 154, 819, 218
1. What is the LCM of 296, 176, 154, 819, 218?
Answer: LCM of 296, 176, 154, 819, 218 is 581332752.
2. How to calculate the LCM of 296, 176, 154, 819, 218?
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, 176, 154, 819, 218.
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}.