LCM of 561, 459, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 459, 684 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 561, 459, 684. So, keep reading to learn more.
Given numbers are 561,459,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,459,684 is 383724.
Find LCM of 561,459,684 with Prime Factorization
| 3 | 561, 459, 684 |
| 3 | 187, 153, 228 |
| 17 | 187, 51, 76 |
| 11, 3, 76 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 11 x 3 x 76 = 383724
Therefore, the lowest common multiple of 561,459,684 is 383724.
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.
561 x 459 x 684 = 176129316
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
459 : 1, 3, 9, 17, 27, 51, 153, 459
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,459,684, is 3.
Now, the common factors can be found like this.
561:3x 11x 17
459:3x 3x 3x 17
684:2x 2x 3x 3x 19
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 17 = 153
Therefore, the value for common factors is 153.
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 = 176129316/(3x153)
LCM = 176129316/459
LCM = 383724
Thus, we can understand that the LCM of 561,459,684 is 383724.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 459, 684
1. What is the LCM of 561, 459, 684?
Answer: LCM of 561, 459, 684 is 383724.
2. How to calculate the LCM of 561, 459, 684?
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 561, 459, 684.
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}.