LCM of 946, 209, 494, 344, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 209, 494, 344, 459 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 946, 209, 494, 344, 459. So, keep reading to learn more.
Given numbers are 946,209,494,344,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,209,494,344,459 is 429003432.
Find LCM of 946,209,494,344,459 with Prime Factorization
| 2 | 946, 209, 494, 344, 459 |
| 11 | 473, 209, 247, 172, 459 |
| 19 | 43, 19, 247, 172, 459 |
| 43 | 43, 1, 13, 172, 459 |
| 1, 1, 13, 4, 459 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 43 x 1 x 1 x 13 x 4 x 459 = 429003432
Therefore, the lowest common multiple of 946,209,494,344,459 is 429003432.
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.
946 x 209 x 494 x 344 x 459 = 15421815373536
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
209 : 1, 11, 19, 209
494 : 1, 2, 13, 19, 26, 38, 247, 494
344 : 1, 2, 4, 8, 43, 86, 172, 344
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,209,494,344,459, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
209:11x 19
494:2x 13x 19
344:2x 2x 2x 43
459:3x 3x 3x 17
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 11x 19x 43 = 35948
Therefore, the value for common factors is 35948.
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 = 15421815373536/(1x35948)
LCM = 15421815373536/35948
LCM = 429003432
Thus, we can understand that the LCM of 946,209,494,344,459 is 429003432.
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FAQs on LCM of 946, 209, 494, 344, 459
1. What is the LCM of 946, 209, 494, 344, 459?
Answer: LCM of 946, 209, 494, 344, 459 is 429003432.
2. How to calculate the LCM of 946, 209, 494, 344, 459?
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 946, 209, 494, 344, 459.
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}.