LCM of 813, 172, 132, 534, 206
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 172, 132, 534, 206 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 813, 172, 132, 534, 206. So, keep reading to learn more.
Given numbers are 813,172,132,534,206
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,172,132,534,206 is 14100642732.
Find LCM of 813,172,132,534,206 with Prime Factorization
| 2 | 813, 172, 132, 534, 206 |
| 2 | 813, 86, 66, 267, 103 |
| 3 | 813, 43, 33, 267, 103 |
| 271, 43, 11, 89, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 271 x 43 x 11 x 89 x 103 = 14100642732
Therefore, the lowest common multiple of 813,172,132,534,206 is 14100642732.
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.
813 x 172 x 132 x 534 x 206 = 2030492553408
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.
813 : 1, 3, 271, 813
172 : 1, 2, 4, 43, 86, 172
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
534 : 1, 2, 3, 6, 89, 178, 267, 534
206 : 1, 2, 103, 206
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,172,132,534,206, is 1.
Now, the common factors can be found like this.
813:3x 271
172:2x 2x 43
132:2x 2x 3x 11
534:2x 3x 89
206:2x 103
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 = 2030492553408/(1x144)
LCM = 2030492553408/144
LCM = 14100642732
Thus, we can understand that the LCM of 813,172,132,534,206 is 14100642732.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 813, 172, 132, 534, 206
1. What is the LCM of 813, 172, 132, 534, 206?
Answer: LCM of 813, 172, 132, 534, 206 is 14100642732.
2. How to calculate the LCM of 813, 172, 132, 534, 206?
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 813, 172, 132, 534, 206.
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}.