LCM of 579, 629, 459, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 629, 459, 792 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 579, 629, 459, 792. So, keep reading to learn more.
Given numbers are 579,629,459,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,629,459,792 is 288439272.
Find LCM of 579,629,459,792 with Prime Factorization
| 3 | 579, 629, 459, 792 |
| 3 | 193, 629, 153, 264 |
| 17 | 193, 629, 51, 88 |
| 193, 37, 3, 88 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 193 x 37 x 3 x 88 = 288439272
Therefore, the lowest common multiple of 579,629,459,792 is 288439272.
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.
579 x 629 x 459 x 792 = 132393625848
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.
579 : 1, 3, 193, 579
629 : 1, 17, 37, 629
459 : 1, 3, 9, 17, 27, 51, 153, 459
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,629,459,792, is 1.
Now, the common factors can be found like this.
579:3x 193
629:17x 37
459:3x 3x 3x 17
792:2x 2x 2x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 17 = 459
Therefore, the value for common factors is 459.
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 = 132393625848/(1x459)
LCM = 132393625848/459
LCM = 288439272
Thus, we can understand that the LCM of 579,629,459,792 is 288439272.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 579, 629, 459, 792
1. What is the LCM of 579, 629, 459, 792?
Answer: LCM of 579, 629, 459, 792 is 288439272.
2. How to calculate the LCM of 579, 629, 459, 792?
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 579, 629, 459, 792.
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}.