LCM of 726, 715, 847, 537, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 715, 847, 537, 462 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, 715, 847, 537, 462. So, keep reading to learn more.
Given numbers are 726,715,847,537,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,715,847,537,462 is 59129070.
Find LCM of 726,715,847,537,462 with Prime Factorization
| 2 | 726, 715, 847, 537, 462 |
| 3 | 363, 715, 847, 537, 231 |
| 7 | 121, 715, 847, 179, 77 |
| 11 | 121, 715, 121, 179, 11 |
| 11 | 1, 65, 11, 179, 11 |
| 1, 65, 1, 179, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 11 x 1 x 65 x 1 x 179 x 1 = 59129070
Therefore, the lowest common multiple of 726,715,847,537,462 is 59129070.
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 715 x 847 x 537 x 462 = 109079297947620
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
715 : 1, 5, 11, 13, 55, 65, 143, 715
847 : 1, 7, 11, 77, 121, 847
537 : 1, 3, 179, 537
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,715,847,537,462, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
715:5x 11x 13
847:7x 11x 11
537:3x 179
462:2x 3x 7x 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 3x 3x 7x 11x 11x 11x 11 = 1844766
Therefore, the value for common factors is 1844766.
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 = 109079297947620/(1x1844766)
LCM = 109079297947620/1844766
LCM = 59129070
Thus, we can understand that the LCM of 726,715,847,537,462 is 59129070.
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FAQs on LCM of 726, 715, 847, 537, 462
1. What is the LCM of 726, 715, 847, 537, 462?
Answer: LCM of 726, 715, 847, 537, 462 is 59129070.
2. How to calculate the LCM of 726, 715, 847, 537, 462?
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, 715, 847, 537, 462.
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}.