LCM of 456, 892, 209, 682, 401
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 892, 209, 682, 401 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 456, 892, 209, 682, 401. So, keep reading to learn more.
Given numbers are 456,892,209,682,401
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,892,209,682,401 is 13904918808.
Find LCM of 456,892,209,682,401 with Prime Factorization
| 2 | 456, 892, 209, 682, 401 |
| 2 | 228, 446, 209, 341, 401 |
| 11 | 114, 223, 209, 341, 401 |
| 19 | 114, 223, 19, 31, 401 |
| 6, 223, 1, 31, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 6 x 223 x 1 x 31 x 401 = 13904918808
Therefore, the lowest common multiple of 456,892,209,682,401 is 13904918808.
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.
456 x 892 x 209 x 682 x 401 = 23249024246976
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
892 : 1, 2, 4, 223, 446, 892
209 : 1, 11, 19, 209
682 : 1, 2, 11, 22, 31, 62, 341, 682
401 : 1, 401
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,892,209,682,401, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
892:2x 2x 223
209:11x 19
682:2x 11x 31
401:401
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 11x 19 = 1672
Therefore, the value for common factors is 1672.
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 = 23249024246976/(1x1672)
LCM = 23249024246976/1672
LCM = 13904918808
Thus, we can understand that the LCM of 456,892,209,682,401 is 13904918808.
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FAQs on LCM of 456, 892, 209, 682, 401
1. What is the LCM of 456, 892, 209, 682, 401?
Answer: LCM of 456, 892, 209, 682, 401 is 13904918808.
2. How to calculate the LCM of 456, 892, 209, 682, 401?
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 456, 892, 209, 682, 401.
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}.