LCM of 996, 721, 214, 264, 656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 996, 721, 214, 264, 656 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 996, 721, 214, 264, 656. So, keep reading to learn more.
Given numbers are 996,721,214,264,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 996,721,214,264,656 is 138616495248.
Find LCM of 996,721,214,264,656 with Prime Factorization
| 2 | 996, 721, 214, 264, 656 |
| 2 | 498, 721, 107, 132, 328 |
| 2 | 249, 721, 107, 66, 164 |
| 3 | 249, 721, 107, 33, 82 |
| 83, 721, 107, 11, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 83 x 721 x 107 x 11 x 82 = 138616495248
Therefore, the lowest common multiple of 996,721,214,264,656 is 138616495248.
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.
996 x 721 x 214 x 264 x 656 = 26614367087616
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.
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
721 : 1, 7, 103, 721
214 : 1, 2, 107, 214
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,721,214,264,656, is 1.
Now, the common factors can be found like this.
996:2x 2x 3x 83
721:7x 103
214:2x 107
264:2x 2x 2x 3x 11
656:2x 2x 2x 2x 41
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 3 = 192
Therefore, the value for common factors is 192.
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 = 26614367087616/(1x192)
LCM = 26614367087616/192
LCM = 138616495248
Thus, we can understand that the LCM of 996,721,214,264,656 is 138616495248.
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FAQs on LCM of 996, 721, 214, 264, 656
1. What is the LCM of 996, 721, 214, 264, 656?
Answer: LCM of 996, 721, 214, 264, 656 is 138616495248.
2. How to calculate the LCM of 996, 721, 214, 264, 656?
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 996, 721, 214, 264, 656.
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}.