LCM of 180, 578, 986, 393
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 578, 986, 393 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, 578, 986, 393. So, keep reading to learn more.
Given numbers are 180,578,986,393
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,578,986,393 is 197623980.
Find LCM of 180,578,986,393 with Prime Factorization
| 2 | 180, 578, 986, 393 |
| 3 | 90, 289, 493, 393 |
| 17 | 30, 289, 493, 131 |
| 30, 17, 29, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 30 x 17 x 29 x 131 = 197623980
Therefore, the lowest common multiple of 180,578,986,393 is 197623980.
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 578 x 986 x 393 = 40315291920
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
578 : 1, 2, 17, 34, 289, 578
986 : 1, 2, 17, 29, 34, 58, 493, 986
393 : 1, 3, 131, 393
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,578,986,393, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
578:2x 17x 17
986:2x 17x 29
393:3x 131
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 3x 17 = 204
Therefore, the value for common factors is 204.
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 = 40315291920/(1x204)
LCM = 40315291920/204
LCM = 197623980
Thus, we can understand that the LCM of 180,578,986,393 is 197623980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 180, 578, 986, 393
1. What is the LCM of 180, 578, 986, 393?
Answer: LCM of 180, 578, 986, 393 is 197623980.
2. How to calculate the LCM of 180, 578, 986, 393?
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, 578, 986, 393.
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}.