LCM of 596, 442, 286, 184, 187
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 442, 286, 184, 187 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 596, 442, 286, 184, 187. So, keep reading to learn more.
Given numbers are 596,442,286,184,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,442,286,184,187 is 66648296.
Find LCM of 596,442,286,184,187 with Prime Factorization
| 2 | 596, 442, 286, 184, 187 |
| 2 | 298, 221, 143, 92, 187 |
| 11 | 149, 221, 143, 46, 187 |
| 13 | 149, 221, 13, 46, 17 |
| 17 | 149, 17, 1, 46, 17 |
| 149, 1, 1, 46, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 17 x 149 x 1 x 1 x 46 x 1 = 66648296
Therefore, the lowest common multiple of 596,442,286,184,187 is 66648296.
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.
596 x 442 x 286 x 184 x 187 = 2592352121216
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.
596 : 1, 2, 4, 149, 298, 596
442 : 1, 2, 13, 17, 26, 34, 221, 442
286 : 1, 2, 11, 13, 22, 26, 143, 286
184 : 1, 2, 4, 8, 23, 46, 92, 184
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,442,286,184,187, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
442:2x 13x 17
286:2x 11x 13
184:2x 2x 2x 23
187:11x 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 11x 13x 17 = 38896
Therefore, the value for common factors is 38896.
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 = 2592352121216/(1x38896)
LCM = 2592352121216/38896
LCM = 66648296
Thus, we can understand that the LCM of 596,442,286,184,187 is 66648296.
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FAQs on LCM of 596, 442, 286, 184, 187
1. What is the LCM of 596, 442, 286, 184, 187?
Answer: LCM of 596, 442, 286, 184, 187 is 66648296.
2. How to calculate the LCM of 596, 442, 286, 184, 187?
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 596, 442, 286, 184, 187.
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}.