LCM of 867, 729, 418, 646, 272
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 729, 418, 646, 272 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 867, 729, 418, 646, 272. So, keep reading to learn more.
Given numbers are 867,729,418,646,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,729,418,646,272 is 704517264.
Find LCM of 867,729,418,646,272 with Prime Factorization
| 2 | 867, 729, 418, 646, 272 |
| 3 | 867, 729, 209, 323, 136 |
| 17 | 289, 243, 209, 323, 136 |
| 19 | 17, 243, 209, 19, 8 |
| 17, 243, 11, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 17 x 243 x 11 x 1 x 8 = 704517264
Therefore, the lowest common multiple of 867,729,418,646,272 is 704517264.
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.
867 x 729 x 418 x 646 x 272 = 46422051559488
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.
867 : 1, 3, 17, 51, 289, 867
729 : 1, 3, 9, 27, 81, 243, 729
418 : 1, 2, 11, 19, 22, 38, 209, 418
646 : 1, 2, 17, 19, 34, 38, 323, 646
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,729,418,646,272, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
729:3x 3x 3x 3x 3x 3
418:2x 11x 19
646:2x 17x 19
272:2x 2x 2x 2x 17
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 17x 17x 19 = 65892
Therefore, the value for common factors is 65892.
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 = 46422051559488/(1x65892)
LCM = 46422051559488/65892
LCM = 704517264
Thus, we can understand that the LCM of 867,729,418,646,272 is 704517264.
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FAQs on LCM of 867, 729, 418, 646, 272
1. What is the LCM of 867, 729, 418, 646, 272?
Answer: LCM of 867, 729, 418, 646, 272 is 704517264.
2. How to calculate the LCM of 867, 729, 418, 646, 272?
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 867, 729, 418, 646, 272.
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}.