LCM of 779, 494, 401, 574, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 494, 401, 574, 410 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 779, 494, 401, 574, 410. So, keep reading to learn more.
Given numbers are 779,494,401,574,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,494,401,574,410 is 284264890.
Find LCM of 779,494,401,574,410 with Prime Factorization
| 2 | 779, 494, 401, 574, 410 |
| 19 | 779, 247, 401, 287, 205 |
| 41 | 41, 13, 401, 287, 205 |
| 1, 13, 401, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 41 x 1 x 13 x 401 x 7 x 5 = 284264890
Therefore, the lowest common multiple of 779,494,401,574,410 is 284264890.
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.
779 x 494 x 401 x 574 x 410 = 36316545286840
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.
779 : 1, 19, 41, 779
494 : 1, 2, 13, 19, 26, 38, 247, 494
401 : 1, 401
574 : 1, 2, 7, 14, 41, 82, 287, 574
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,494,401,574,410, is 1.
Now, the common factors can be found like this.
779:19x 41
494:2x 13x 19
401:401
574:2x 7x 41
410:2x 5x 41
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 19x 41x 41 = 127756
Therefore, the value for common factors is 127756.
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 = 36316545286840/(1x127756)
LCM = 36316545286840/127756
LCM = 284264890
Thus, we can understand that the LCM of 779,494,401,574,410 is 284264890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 779, 494, 401, 574, 410
1. What is the LCM of 779, 494, 401, 574, 410?
Answer: LCM of 779, 494, 401, 574, 410 is 284264890.
2. How to calculate the LCM of 779, 494, 401, 574, 410?
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 779, 494, 401, 574, 410.
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}.