LCM of 589, 412, 540, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 412, 540, 418 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 589, 412, 540, 418. So, keep reading to learn more.
Given numbers are 589,412,540,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,412,540,418 is 360361980.
Find LCM of 589,412,540,418 with Prime Factorization
| 2 | 589, 412, 540, 418 |
| 2 | 589, 206, 270, 209 |
| 19 | 589, 103, 135, 209 |
| 31, 103, 135, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 31 x 103 x 135 x 11 = 360361980
Therefore, the lowest common multiple of 589,412,540,418 is 360361980.
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.
589 x 412 x 540 x 418 = 54775020960
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.
589 : 1, 19, 31, 589
412 : 1, 2, 4, 103, 206, 412
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,412,540,418, is 1.
Now, the common factors can be found like this.
589:19x 31
412:2x 2x 103
540:2x 2x 3x 3x 3x 5
418:2x 11x 19
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 19 = 152
Therefore, the value for common factors is 152.
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 = 54775020960/(1x152)
LCM = 54775020960/152
LCM = 360361980
Thus, we can understand that the LCM of 589,412,540,418 is 360361980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 589, 412, 540, 418
1. What is the LCM of 589, 412, 540, 418?
Answer: LCM of 589, 412, 540, 418 is 360361980.
2. How to calculate the LCM of 589, 412, 540, 418?
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 589, 412, 540, 418.
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}.