LCM of 396, 885, 554, 968, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 885, 554, 968, 726 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 396, 885, 554, 968, 726. So, keep reading to learn more.
Given numbers are 396,885,554,968,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,885,554,968,726 is 711901080.
Find LCM of 396,885,554,968,726 with Prime Factorization
| 2 | 396, 885, 554, 968, 726 |
| 2 | 198, 885, 277, 484, 363 |
| 3 | 99, 885, 277, 242, 363 |
| 11 | 33, 295, 277, 242, 121 |
| 11 | 3, 295, 277, 22, 11 |
| 3, 295, 277, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 11 x 3 x 295 x 277 x 2 x 1 = 711901080
Therefore, the lowest common multiple of 396,885,554,968,726 is 711901080.
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.
396 x 885 x 554 x 968 x 726 = 136445808597120
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
885 : 1, 3, 5, 15, 59, 177, 295, 885
554 : 1, 2, 277, 554
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,885,554,968,726, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
885:3x 5x 59
554:2x 277
968:2x 2x 2x 11x 11
726:2x 3x 11x 11
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 3x 3x 11x 11x 11 = 191664
Therefore, the value for common factors is 191664.
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 = 136445808597120/(1x191664)
LCM = 136445808597120/191664
LCM = 711901080
Thus, we can understand that the LCM of 396,885,554,968,726 is 711901080.
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FAQs on LCM of 396, 885, 554, 968, 726
1. What is the LCM of 396, 885, 554, 968, 726?
Answer: LCM of 396, 885, 554, 968, 726 is 711901080.
2. How to calculate the LCM of 396, 885, 554, 968, 726?
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 396, 885, 554, 968, 726.
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}.