LCM of 591, 516, 540, 381
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 516, 540, 381 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 591, 516, 540, 381. So, keep reading to learn more.
Given numbers are 591,516,540,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,516,540,381 is 580941180.
Find LCM of 591,516,540,381 with Prime Factorization
| 2 | 591, 516, 540, 381 |
| 2 | 591, 258, 270, 381 |
| 3 | 591, 129, 135, 381 |
| 197, 43, 45, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 197 x 43 x 45 x 127 = 580941180
Therefore, the lowest common multiple of 591,516,540,381 is 580941180.
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.
591 x 516 x 540 x 381 = 62741647440
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.
591 : 1, 3, 197, 591
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
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
381 : 1, 3, 127, 381
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,516,540,381, is 3.
Now, the common factors can be found like this.
591:3x 197
516:2x 2x 3x 43
540:2x 2x 3x 3x 3x 5
381:3x 127
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 3 = 36
Therefore, the value for common factors is 36.
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 = 62741647440/(3x36)
LCM = 62741647440/108
LCM = 580941180
Thus, we can understand that the LCM of 591,516,540,381 is 580941180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 591, 516, 540, 381
1. What is the LCM of 591, 516, 540, 381?
Answer: LCM of 591, 516, 540, 381 is 580941180.
2. How to calculate the LCM of 591, 516, 540, 381?
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 591, 516, 540, 381.
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}.