LCM of 271, 408, 450, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 271, 408, 450, 336 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 271, 408, 450, 336. So, keep reading to learn more.
Given numbers are 271,408,450,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 271,408,450,336 is 116096400.
Find LCM of 271,408,450,336 with Prime Factorization
| 2 | 271, 408, 450, 336 |
| 2 | 271, 204, 225, 168 |
| 2 | 271, 102, 225, 84 |
| 3 | 271, 51, 225, 42 |
| 271, 17, 75, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 271 x 17 x 75 x 14 = 116096400
Therefore, the lowest common multiple of 271,408,450,336 is 116096400.
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.
271 x 408 x 450 x 336 = 16717881600
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.
271 : 1, 271
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,408,450,336, is 1.
Now, the common factors can be found like this.
271:271
408:2x 2x 2x 3x 17
450:2x 3x 3x 5x 5
336:2x 2x 2x 2x 3x 7
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 16717881600/(1x144)
LCM = 16717881600/144
LCM = 116096400
Thus, we can understand that the LCM of 271,408,450,336 is 116096400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 271, 408, 450, 336
1. What is the LCM of 271, 408, 450, 336?
Answer: LCM of 271, 408, 450, 336 is 116096400.
2. How to calculate the LCM of 271, 408, 450, 336?
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 271, 408, 450, 336.
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}.