LCM of 271, 172, 316, 632
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 271, 172, 316, 632 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, 172, 316, 632. So, keep reading to learn more.
Given numbers are 271,172,316,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 271,172,316,632 is 7364696.
Find LCM of 271,172,316,632 with Prime Factorization
| 2 | 271, 172, 316, 632 |
| 2 | 271, 86, 158, 316 |
| 79 | 271, 43, 79, 158 |
| 271, 43, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 79 x 271 x 43 x 1 x 2 = 7364696
Therefore, the lowest common multiple of 271,172,316,632 is 7364696.
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 172 x 316 x 632 = 9308975744
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
172 : 1, 2, 4, 43, 86, 172
316 : 1, 2, 4, 79, 158, 316
632 : 1, 2, 4, 8, 79, 158, 316, 632
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,172,316,632, is 1.
Now, the common factors can be found like this.
271:271
172:2x 2x 43
316:2x 2x 79
632:2x 2x 2x 79
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 79 = 1264
Therefore, the value for common factors is 1264.
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 = 9308975744/(1x1264)
LCM = 9308975744/1264
LCM = 7364696
Thus, we can understand that the LCM of 271,172,316,632 is 7364696.
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FAQs on LCM of 271, 172, 316, 632
1. What is the LCM of 271, 172, 316, 632?
Answer: LCM of 271, 172, 316, 632 is 7364696.
2. How to calculate the LCM of 271, 172, 316, 632?
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, 172, 316, 632.
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}.