LCM of 216, 372, 727, 382, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 372, 727, 382, 513 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 216, 372, 727, 382, 513. So, keep reading to learn more.
Given numbers are 216,372,727,382,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,372,727,382,513 is 17665942968.
Find LCM of 216,372,727,382,513 with Prime Factorization
| 2 | 216, 372, 727, 382, 513 |
| 2 | 108, 186, 727, 191, 513 |
| 3 | 54, 93, 727, 191, 513 |
| 3 | 18, 31, 727, 191, 171 |
| 3 | 6, 31, 727, 191, 57 |
| 2, 31, 727, 191, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 2 x 31 x 727 x 191 x 19 = 17665942968
Therefore, the lowest common multiple of 216,372,727,382,513 is 17665942968.
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.
216 x 372 x 727 x 382 x 513 = 11447531043264
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
727 : 1, 727
382 : 1, 2, 191, 382
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,372,727,382,513, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
372:2x 2x 3x 31
727:727
382:2x 191
513:3x 3x 3x 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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 11447531043264/(1x648)
LCM = 11447531043264/648
LCM = 17665942968
Thus, we can understand that the LCM of 216,372,727,382,513 is 17665942968.
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FAQs on LCM of 216, 372, 727, 382, 513
1. What is the LCM of 216, 372, 727, 382, 513?
Answer: LCM of 216, 372, 727, 382, 513 is 17665942968.
2. How to calculate the LCM of 216, 372, 727, 382, 513?
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 216, 372, 727, 382, 513.
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}.