LCM of 487, 414, 540, 713
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 414, 540, 713 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 487, 414, 540, 713. So, keep reading to learn more.
Given numbers are 487,414,540,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,414,540,713 is 187504740.
Find LCM of 487,414,540,713 with Prime Factorization
| 2 | 487, 414, 540, 713 |
| 3 | 487, 207, 270, 713 |
| 3 | 487, 69, 90, 713 |
| 23 | 487, 23, 30, 713 |
| 487, 1, 30, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 487 x 1 x 30 x 31 = 187504740
Therefore, the lowest common multiple of 487,414,540,713 is 187504740.
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.
487 x 414 x 540 x 713 = 77626962360
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.
487 : 1, 487
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
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
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,414,540,713, is 1.
Now, the common factors can be found like this.
487:487
414:2x 3x 3x 23
540:2x 2x 3x 3x 3x 5
713:23x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 23 = 414
Therefore, the value for common factors is 414.
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 = 77626962360/(1x414)
LCM = 77626962360/414
LCM = 187504740
Thus, we can understand that the LCM of 487,414,540,713 is 187504740.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 487, 414, 540, 713
1. What is the LCM of 487, 414, 540, 713?
Answer: LCM of 487, 414, 540, 713 is 187504740.
2. How to calculate the LCM of 487, 414, 540, 713?
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 487, 414, 540, 713.
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}.