LCM of 459, 588, 449, 271
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 588, 449, 271 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 459, 588, 449, 271. So, keep reading to learn more.
Given numbers are 459,588,449,271
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,588,449,271 is 10946729556.
Find LCM of 459,588,449,271 with Prime Factorization
| 3 | 459, 588, 449, 271 |
| 153, 196, 449, 271 |
Multiply the prime numbers at the bottom and the left side.
3 x 153 x 196 x 449 x 271 = 10946729556
Therefore, the lowest common multiple of 459,588,449,271 is 10946729556.
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.
459 x 588 x 449 x 271 = 32840188668
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
449 : 1, 449
271 : 1, 271
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,588,449,271, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
588:2x 2x 3x 7x 7
449:449
271:271
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 = 32840188668/(1x3)
LCM = 32840188668/3
LCM = 10946729556
Thus, we can understand that the LCM of 459,588,449,271 is 10946729556.
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FAQs on LCM of 459, 588, 449, 271
1. What is the LCM of 459, 588, 449, 271?
Answer: LCM of 459, 588, 449, 271 is 10946729556.
2. How to calculate the LCM of 459, 588, 449, 271?
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 459, 588, 449, 271.
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}.