LCM of 561, 249, 759, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 249, 759, 576 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, 249, 759, 576. So, keep reading to learn more.
Given numbers are 561,249,759,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,249,759,576 is 205622208.
Find LCM of 561,249,759,576 with Prime Factorization
| 3 | 561, 249, 759, 576 |
| 11 | 187, 83, 253, 192 |
| 17, 83, 23, 192 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 83 x 23 x 192 = 205622208
Therefore, the lowest common multiple of 561,249,759,576 is 205622208.
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 249 x 759 x 576 = 61069795776
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
249 : 1, 3, 83, 249
759 : 1, 3, 11, 23, 33, 69, 253, 759
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,249,759,576, is 3.
Now, the common factors can be found like this.
561:3x 11x 17
249:3x 83
759:3x 11x 23
576:2x 2x 2x 2x 2x 2x 3x 3
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 11 = 99
Therefore, the value for common factors is 99.
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 = 61069795776/(3x99)
LCM = 61069795776/297
LCM = 205622208
Thus, we can understand that the LCM of 561,249,759,576 is 205622208.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 249, 759, 576
1. What is the LCM of 561, 249, 759, 576?
Answer: LCM of 561, 249, 759, 576 is 205622208.
2. How to calculate the LCM of 561, 249, 759, 576?
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, 249, 759, 576.
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}.