LCM of 578, 779, 494, 183
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 779, 494, 183 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 578, 779, 494, 183. So, keep reading to learn more.
Given numbers are 578,779,494,183
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,779,494,183 is 1071173298.
Find LCM of 578,779,494,183 with Prime Factorization
| 2 | 578, 779, 494, 183 |
| 19 | 289, 779, 247, 183 |
| 289, 41, 13, 183 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 289 x 41 x 13 x 183 = 1071173298
Therefore, the lowest common multiple of 578,779,494,183 is 1071173298.
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.
578 x 779 x 494 x 183 = 40704585324
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.
578 : 1, 2, 17, 34, 289, 578
779 : 1, 19, 41, 779
494 : 1, 2, 13, 19, 26, 38, 247, 494
183 : 1, 3, 61, 183
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,779,494,183, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
779:19x 41
494:2x 13x 19
183:3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 40704585324/(1x38)
LCM = 40704585324/38
LCM = 1071173298
Thus, we can understand that the LCM of 578,779,494,183 is 1071173298.
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FAQs on LCM of 578, 779, 494, 183
1. What is the LCM of 578, 779, 494, 183?
Answer: LCM of 578, 779, 494, 183 is 1071173298.
2. How to calculate the LCM of 578, 779, 494, 183?
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 578, 779, 494, 183.
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}.