LCM of 494, 244, 702, 466
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 244, 702, 466 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 494, 244, 702, 466. So, keep reading to learn more.
Given numbers are 494,244,702,466
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,244,702,466 is 379145988.
Find LCM of 494,244,702,466 with Prime Factorization
| 2 | 494, 244, 702, 466 |
| 13 | 247, 122, 351, 233 |
| 19, 122, 27, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 122 x 27 x 233 = 379145988
Therefore, the lowest common multiple of 494,244,702,466 is 379145988.
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.
494 x 244 x 702 x 466 = 39431182752
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
244 : 1, 2, 4, 61, 122, 244
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
466 : 1, 2, 233, 466
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,244,702,466, is 2.
Now, the common factors can be found like this.
494:2x 13x 19
244:2x 2x 61
702:2x 3x 3x 3x 13
466:2x 233
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 13 = 52
Therefore, the value for common factors is 52.
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 = 39431182752/(2x52)
LCM = 39431182752/104
LCM = 379145988
Thus, we can understand that the LCM of 494,244,702,466 is 379145988.
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FAQs on LCM of 494, 244, 702, 466
1. What is the LCM of 494, 244, 702, 466?
Answer: LCM of 494, 244, 702, 466 is 379145988.
2. How to calculate the LCM of 494, 244, 702, 466?
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 494, 244, 702, 466.
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}.