LCM of 560, 849, 514, 531
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 849, 514, 531 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 560, 849, 514, 531. So, keep reading to learn more.
Given numbers are 560,849,514,531
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,849,514,531 is 21627290160.
Find LCM of 560,849,514,531 with Prime Factorization
| 2 | 560, 849, 514, 531 |
| 3 | 280, 849, 257, 531 |
| 280, 283, 257, 177 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 280 x 283 x 257 x 177 = 21627290160
Therefore, the lowest common multiple of 560,849,514,531 is 21627290160.
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.
560 x 849 x 514 x 531 = 129763740960
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
849 : 1, 3, 283, 849
514 : 1, 2, 257, 514
531 : 1, 3, 9, 59, 177, 531
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,849,514,531, is 1.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
849:3x 283
514:2x 257
531:3x 3x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 129763740960/(1x6)
LCM = 129763740960/6
LCM = 21627290160
Thus, we can understand that the LCM of 560,849,514,531 is 21627290160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 560, 849, 514, 531
1. What is the LCM of 560, 849, 514, 531?
Answer: LCM of 560, 849, 514, 531 is 21627290160.
2. How to calculate the LCM of 560, 849, 514, 531?
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 560, 849, 514, 531.
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}.