LCM of 180, 754, 514, 531, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 754, 514, 531, 824 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 180, 754, 514, 531, 824. So, keep reading to learn more.
Given numbers are 180,754,514,531,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,754,514,531,824 is 211966003080.
Find LCM of 180,754,514,531,824 with Prime Factorization
| 2 | 180, 754, 514, 531, 824 |
| 2 | 90, 377, 257, 531, 412 |
| 3 | 45, 377, 257, 531, 206 |
| 3 | 15, 377, 257, 177, 206 |
| 5, 377, 257, 59, 206 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 377 x 257 x 59 x 206 = 211966003080
Therefore, the lowest common multiple of 180,754,514,531,824 is 211966003080.
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.
180 x 754 x 514 x 531 x 824 = 30523104443520
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
754 : 1, 2, 13, 26, 29, 58, 377, 754
514 : 1, 2, 257, 514
531 : 1, 3, 9, 59, 177, 531
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,754,514,531,824, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
754:2x 13x 29
514:2x 257
531:3x 3x 59
824:2x 2x 2x 103
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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 30523104443520/(1x144)
LCM = 30523104443520/144
LCM = 211966003080
Thus, we can understand that the LCM of 180,754,514,531,824 is 211966003080.
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FAQs on LCM of 180, 754, 514, 531, 824
1. What is the LCM of 180, 754, 514, 531, 824?
Answer: LCM of 180, 754, 514, 531, 824 is 211966003080.
2. How to calculate the LCM of 180, 754, 514, 531, 824?
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 180, 754, 514, 531, 824.
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}.