LCM of 180, 290, 514, 486, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 290, 514, 486, 754 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, 290, 514, 486, 754. So, keep reading to learn more.
Given numbers are 180,290,514,486,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,290,514,486,754 is 470880540.
Find LCM of 180,290,514,486,754 with Prime Factorization
| 2 | 180, 290, 514, 486, 754 |
| 3 | 90, 145, 257, 243, 377 |
| 3 | 30, 145, 257, 81, 377 |
| 5 | 10, 145, 257, 27, 377 |
| 29 | 2, 29, 257, 27, 377 |
| 2, 1, 257, 27, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 29 x 2 x 1 x 257 x 27 x 13 = 470880540
Therefore, the lowest common multiple of 180,290,514,486,754 is 470880540.
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 290 x 514 x 486 x 754 = 9831985675200
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
290 : 1, 2, 5, 10, 29, 58, 145, 290
514 : 1, 2, 257, 514
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
754 : 1, 2, 13, 26, 29, 58, 377, 754
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,290,514,486,754, is 2.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
290:2x 5x 29
514:2x 257
486:2x 3x 3x 3x 3x 3
754:2x 13x 29
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 5x 29 = 10440
Therefore, the value for common factors is 10440.
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 = 9831985675200/(2x10440)
LCM = 9831985675200/20880
LCM = 470880540
Thus, we can understand that the LCM of 180,290,514,486,754 is 470880540.
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FAQs on LCM of 180, 290, 514, 486, 754
1. What is the LCM of 180, 290, 514, 486, 754?
Answer: LCM of 180, 290, 514, 486, 754 is 470880540.
2. How to calculate the LCM of 180, 290, 514, 486, 754?
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, 290, 514, 486, 754.
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}.