LCM of 721, 726, 961, 442, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 726, 961, 442, 286 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, 726, 961, 442, 286. So, keep reading to learn more.
Given numbers are 721,726,961,442,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,726,961,442,286 is 111169984926.
Find LCM of 721,726,961,442,286 with Prime Factorization
| 2 | 721, 726, 961, 442, 286 |
| 11 | 721, 363, 961, 221, 143 |
| 13 | 721, 33, 961, 221, 13 |
| 721, 33, 961, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 721 x 33 x 961 x 17 x 1 = 111169984926
Therefore, the lowest common multiple of 721,726,961,442,286 is 111169984926.
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 726 x 961 x 442 x 286 = 63589231377672
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
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
961 : 1, 31, 961
442 : 1, 2, 13, 17, 26, 34, 221, 442
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,726,961,442,286, is 1.
Now, the common factors can be found like this.
721:7x 103
726:2x 3x 11x 11
961:31x 31
442:2x 13x 17
286:2x 11x 13
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 11x 13 = 572
Therefore, the value for common factors is 572.
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 = 63589231377672/(1x572)
LCM = 63589231377672/572
LCM = 111169984926
Thus, we can understand that the LCM of 721,726,961,442,286 is 111169984926.
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FAQs on LCM of 721, 726, 961, 442, 286
1. What is the LCM of 721, 726, 961, 442, 286?
Answer: LCM of 721, 726, 961, 442, 286 is 111169984926.
2. How to calculate the LCM of 721, 726, 961, 442, 286?
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, 726, 961, 442, 286.
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}.