LCM of 189, 484, 965, 135, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 189, 484, 965, 135, 286 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 189, 484, 965, 135, 286. So, keep reading to learn more.
Given numbers are 189,484,965,135,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,484,965,135,286 is 1147566420.
Find LCM of 189,484,965,135,286 with Prime Factorization
| 2 | 189, 484, 965, 135, 286 |
| 3 | 189, 242, 965, 135, 143 |
| 3 | 63, 242, 965, 45, 143 |
| 3 | 21, 242, 965, 15, 143 |
| 5 | 7, 242, 965, 5, 143 |
| 11 | 7, 242, 193, 1, 143 |
| 7, 22, 193, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 11 x 7 x 22 x 193 x 1 x 13 = 1147566420
Therefore, the lowest common multiple of 189,484,965,135,286 is 1147566420.
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.
189 x 484 x 965 x 135 x 286 = 3408272267400
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
965 : 1, 5, 193, 965
135 : 1, 3, 5, 9, 15, 27, 45, 135
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,484,965,135,286, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
484:2x 2x 11x 11
965:5x 193
135:3x 3x 3x 5
286:2x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 11 = 2970
Therefore, the value for common factors is 2970.
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 = 3408272267400/(1x2970)
LCM = 3408272267400/2970
LCM = 1147566420
Thus, we can understand that the LCM of 189,484,965,135,286 is 1147566420.
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FAQs on LCM of 189, 484, 965, 135, 286
1. What is the LCM of 189, 484, 965, 135, 286?
Answer: LCM of 189, 484, 965, 135, 286 is 1147566420.
2. How to calculate the LCM of 189, 484, 965, 135, 286?
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 189, 484, 965, 135, 286.
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}.