LCM of 726, 605, 686, 874, 908
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 605, 686, 874, 908 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 726, 605, 686, 874, 908. So, keep reading to learn more.
Given numbers are 726,605,686,874,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,605,686,874,908 is 247023365820.
Find LCM of 726,605,686,874,908 with Prime Factorization
| 2 | 726, 605, 686, 874, 908 |
| 11 | 363, 605, 343, 437, 454 |
| 11 | 33, 55, 343, 437, 454 |
| 3, 5, 343, 437, 454 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 11 x 3 x 5 x 343 x 437 x 454 = 247023365820
Therefore, the lowest common multiple of 726,605,686,874,908 is 247023365820.
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.
726 x 605 x 686 x 874 x 908 = 239118618113760
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
605 : 1, 5, 11, 55, 121, 605
686 : 1, 2, 7, 14, 49, 98, 343, 686
874 : 1, 2, 19, 23, 38, 46, 437, 874
908 : 1, 2, 4, 227, 454, 908
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,605,686,874,908, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
605:5x 11x 11
686:2x 7x 7x 7
874:2x 19x 23
908:2x 2x 227
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 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 239118618113760/(1x968)
LCM = 239118618113760/968
LCM = 247023365820
Thus, we can understand that the LCM of 726,605,686,874,908 is 247023365820.
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FAQs on LCM of 726, 605, 686, 874, 908
1. What is the LCM of 726, 605, 686, 874, 908?
Answer: LCM of 726, 605, 686, 874, 908 is 247023365820.
2. How to calculate the LCM of 726, 605, 686, 874, 908?
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 726, 605, 686, 874, 908.
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}.