LCM of 721, 918, 828, 517, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 918, 828, 517, 216 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 721, 918, 828, 517, 216. So, keep reading to learn more.
Given numbers are 721,918,828,517,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,918,828,517,216 is 31481565192.
Find LCM of 721,918,828,517,216 with Prime Factorization
| 2 | 721, 918, 828, 517, 216 |
| 2 | 721, 459, 414, 517, 108 |
| 3 | 721, 459, 207, 517, 54 |
| 3 | 721, 153, 69, 517, 18 |
| 3 | 721, 51, 23, 517, 6 |
| 721, 17, 23, 517, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 721 x 17 x 23 x 517 x 2 = 31481565192
Therefore, the lowest common multiple of 721,918,828,517,216 is 31481565192.
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.
721 x 918 x 828 x 517 x 216 = 61200162733248
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.
721 : 1, 7, 103, 721
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
517 : 1, 11, 47, 517
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,918,828,517,216, is 1.
Now, the common factors can be found like this.
721:7x 103
918:2x 3x 3x 3x 17
828:2x 2x 3x 3x 23
517:11x 47
216:2x 2x 2x 3x 3x 3
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 3x 3 = 1944
Therefore, the value for common factors is 1944.
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 = 61200162733248/(1x1944)
LCM = 61200162733248/1944
LCM = 31481565192
Thus, we can understand that the LCM of 721,918,828,517,216 is 31481565192.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 721, 918, 828, 517, 216
1. What is the LCM of 721, 918, 828, 517, 216?
Answer: LCM of 721, 918, 828, 517, 216 is 31481565192.
2. How to calculate the LCM of 721, 918, 828, 517, 216?
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 721, 918, 828, 517, 216.
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}.