LCM of 561, 108, 720, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 108, 720, 514 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, 108, 720, 514. So, keep reading to learn more.
Given numbers are 561,108,720,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,108,720,514 is 103807440.
Find LCM of 561,108,720,514 with Prime Factorization
| 2 | 561, 108, 720, 514 |
| 2 | 561, 54, 360, 257 |
| 3 | 561, 27, 180, 257 |
| 3 | 187, 9, 60, 257 |
| 187, 3, 20, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 187 x 3 x 20 x 257 = 103807440
Therefore, the lowest common multiple of 561,108,720,514 is 103807440.
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 108 x 720 x 514 = 22422407040
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
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,108,720,514, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
108:2x 2x 3x 3x 3
720:2x 2x 2x 2x 3x 3x 5
514:2x 257
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 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 22422407040/(1x216)
LCM = 22422407040/216
LCM = 103807440
Thus, we can understand that the LCM of 561,108,720,514 is 103807440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 108, 720, 514
1. What is the LCM of 561, 108, 720, 514?
Answer: LCM of 561, 108, 720, 514 is 103807440.
2. How to calculate the LCM of 561, 108, 720, 514?
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, 108, 720, 514.
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}.