LCM of 813, 401, 946, 711, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 401, 946, 711, 538 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, 401, 946, 711, 538. So, keep reading to learn more.
Given numbers are 813,401,946,711,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,401,946,711,538 is 19661954222394.
Find LCM of 813,401,946,711,538 with Prime Factorization
| 2 | 813, 401, 946, 711, 538 |
| 3 | 813, 401, 473, 711, 269 |
| 271, 401, 473, 237, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 271 x 401 x 473 x 237 x 269 = 19661954222394
Therefore, the lowest common multiple of 813,401,946,711,538 is 19661954222394.
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 401 x 946 x 711 x 538 = 117971725334364
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
401 : 1, 401
946 : 1, 2, 11, 22, 43, 86, 473, 946
711 : 1, 3, 9, 79, 237, 711
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,401,946,711,538, is 1.
Now, the common factors can be found like this.
813:3x 271
401:401
946:2x 11x 43
711:3x 3x 79
538:2x 269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 117971725334364/(1x6)
LCM = 117971725334364/6
LCM = 19661954222394
Thus, we can understand that the LCM of 813,401,946,711,538 is 19661954222394.
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FAQs on LCM of 813, 401, 946, 711, 538
1. What is the LCM of 813, 401, 946, 711, 538?
Answer: LCM of 813, 401, 946, 711, 538 is 19661954222394.
2. How to calculate the LCM of 813, 401, 946, 711, 538?
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, 401, 946, 711, 538.
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}.