LCM of 393, 459, 257, 133
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 393, 459, 257, 133 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 393, 459, 257, 133. So, keep reading to learn more.
Given numbers are 393,459,257,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 393,459,257,133 is 2055269349.
Find LCM of 393,459,257,133 with Prime Factorization
| 3 | 393, 459, 257, 133 |
| 131, 153, 257, 133 |
Multiply the prime numbers at the bottom and the left side.
3 x 131 x 153 x 257 x 133 = 2055269349
Therefore, the lowest common multiple of 393,459,257,133 is 2055269349.
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.
393 x 459 x 257 x 133 = 6165808047
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.
393 : 1, 3, 131, 393
459 : 1, 3, 9, 17, 27, 51, 153, 459
257 : 1, 257
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,459,257,133, is 1.
Now, the common factors can be found like this.
393:3x 131
459:3x 3x 3x 17
257:257
133:7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 6165808047/(1x3)
LCM = 6165808047/3
LCM = 2055269349
Thus, we can understand that the LCM of 393,459,257,133 is 2055269349.
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FAQs on LCM of 393, 459, 257, 133
1. What is the LCM of 393, 459, 257, 133?
Answer: LCM of 393, 459, 257, 133 is 2055269349.
2. How to calculate the LCM of 393, 459, 257, 133?
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 393, 459, 257, 133.
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}.