LCM of 281, 843, 645, 575, 271
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 281, 843, 645, 575, 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 281, 843, 645, 575, 271. So, keep reading to learn more.
Given numbers are 281,843,645,575,271
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,843,645,575,271 is 5648500425.
Find LCM of 281,843,645,575,271 with Prime Factorization
| 3 | 281, 843, 645, 575, 271 |
| 5 | 281, 281, 215, 575, 271 |
| 281 | 281, 281, 43, 115, 271 |
| 1, 1, 43, 115, 271 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 281 x 1 x 1 x 43 x 115 x 271 = 5648500425
Therefore, the lowest common multiple of 281,843,645,575,271 is 5648500425.
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.
281 x 843 x 645 x 575 x 271 = 23808429291375
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.
281 : 1, 281
843 : 1, 3, 281, 843
645 : 1, 3, 5, 15, 43, 129, 215, 645
575 : 1, 5, 23, 25, 115, 575
271 : 1, 271
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,843,645,575,271, is 1.
Now, the common factors can be found like this.
281:281
843:3x 281
645:3x 5x 43
575:5x 5x 23
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.
3x 5x 281 = 4215
Therefore, the value for common factors is 4215.
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 = 23808429291375/(1x4215)
LCM = 23808429291375/4215
LCM = 5648500425
Thus, we can understand that the LCM of 281,843,645,575,271 is 5648500425.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 281, 843, 645, 575, 271
1. What is the LCM of 281, 843, 645, 575, 271?
Answer: LCM of 281, 843, 645, 575, 271 is 5648500425.
2. How to calculate the LCM of 281, 843, 645, 575, 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 281, 843, 645, 575, 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}.