LCM of 271, 716, 286, 849, 537
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 271, 716, 286, 849, 537 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, 716, 286, 849, 537. So, keep reading to learn more.
Given numbers are 271,716,286,849,537
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 271,716,286,849,537 is 23557328652.
Find LCM of 271,716,286,849,537 with Prime Factorization
| 2 | 271, 716, 286, 849, 537 |
| 3 | 271, 358, 143, 849, 537 |
| 179 | 271, 358, 143, 283, 179 |
| 271, 2, 143, 283, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 179 x 271 x 2 x 143 x 283 x 1 = 23557328652
Therefore, the lowest common multiple of 271,716,286,849,537 is 23557328652.
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 716 x 286 x 849 x 537 = 25300570972248
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
716 : 1, 2, 4, 179, 358, 716
286 : 1, 2, 11, 13, 22, 26, 143, 286
849 : 1, 3, 283, 849
537 : 1, 3, 179, 537
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,716,286,849,537, is 1.
Now, the common factors can be found like this.
271:271
716:2x 2x 179
286:2x 11x 13
849:3x 283
537:3x 179
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 179 = 1074
Therefore, the value for common factors is 1074.
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 = 25300570972248/(1x1074)
LCM = 25300570972248/1074
LCM = 23557328652
Thus, we can understand that the LCM of 271,716,286,849,537 is 23557328652.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 271, 716, 286, 849, 537
1. What is the LCM of 271, 716, 286, 849, 537?
Answer: LCM of 271, 716, 286, 849, 537 is 23557328652.
2. How to calculate the LCM of 271, 716, 286, 849, 537?
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, 716, 286, 849, 537.
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}.