LCM of 774, 576, 871, 946, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 774, 576, 871, 946, 494 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 774, 576, 871, 946, 494. So, keep reading to learn more.
Given numbers are 774,576,871,946,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,576,871,946,494 is 4508741952.
Find LCM of 774,576,871,946,494 with Prime Factorization
| 2 | 774, 576, 871, 946, 494 |
| 3 | 387, 288, 871, 473, 247 |
| 3 | 129, 96, 871, 473, 247 |
| 13 | 43, 32, 871, 473, 247 |
| 43 | 43, 32, 67, 473, 19 |
| 1, 32, 67, 11, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 43 x 1 x 32 x 67 x 11 x 19 = 4508741952
Therefore, the lowest common multiple of 774,576,871,946,494 is 4508741952.
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.
774 x 576 x 871 x 946 x 494 = 181467846084096
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
871 : 1, 13, 67, 871
946 : 1, 2, 11, 22, 43, 86, 473, 946
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,576,871,946,494, is 1.
Now, the common factors can be found like this.
774:2x 3x 3x 43
576:2x 2x 2x 2x 2x 2x 3x 3
871:13x 67
946:2x 11x 43
494:2x 13x 19
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 3x 3x 13x 43 = 40248
Therefore, the value for common factors is 40248.
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 = 181467846084096/(1x40248)
LCM = 181467846084096/40248
LCM = 4508741952
Thus, we can understand that the LCM of 774,576,871,946,494 is 4508741952.
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FAQs on LCM of 774, 576, 871, 946, 494
1. What is the LCM of 774, 576, 871, 946, 494?
Answer: LCM of 774, 576, 871, 946, 494 is 4508741952.
2. How to calculate the LCM of 774, 576, 871, 946, 494?
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 774, 576, 871, 946, 494.
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}.