LCM of 218, 656, 716, 608, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 656, 716, 608, 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 218, 656, 716, 608, 513. So, keep reading to learn more.
Given numbers are 218,656,716,608,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,656,716,608,513 is 13131995616.
Find LCM of 218,656,716,608,513 with Prime Factorization
| 2 | 218, 656, 716, 608, 513 |
| 2 | 109, 328, 358, 304, 513 |
| 2 | 109, 164, 179, 152, 513 |
| 2 | 109, 82, 179, 76, 513 |
| 19 | 109, 41, 179, 38, 513 |
| 109, 41, 179, 2, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 19 x 109 x 41 x 179 x 2 x 27 = 13131995616
Therefore, the lowest common multiple of 218,656,716,608,513 is 13131995616.
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.
218 x 656 x 716 x 608 x 513 = 31937013338112
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.
218 : 1, 2, 109, 218
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
716 : 1, 2, 4, 179, 358, 716
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
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 218,656,716,608,513, is 1.
Now, the common factors can be found like this.
218:2x 109
656:2x 2x 2x 2x 41
716:2x 2x 179
608:2x 2x 2x 2x 2x 19
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 2x 2x 2x 2x 19 = 2432
Therefore, the value for common factors is 2432.
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 = 31937013338112/(1x2432)
LCM = 31937013338112/2432
LCM = 13131995616
Thus, we can understand that the LCM of 218,656,716,608,513 is 13131995616.
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FAQs on LCM of 218, 656, 716, 608, 513
1. What is the LCM of 218, 656, 716, 608, 513?
Answer: LCM of 218, 656, 716, 608, 513 is 13131995616.
2. How to calculate the LCM of 218, 656, 716, 608, 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 218, 656, 716, 608, 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}.