LCM of 810, 715, 467, 847, 136
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 715, 467, 847, 136 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 810, 715, 467, 847, 136. So, keep reading to learn more.
Given numbers are 810,715,467,847,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,715,467,847,136 is 283228905960.
Find LCM of 810,715,467,847,136 with Prime Factorization
| 2 | 810, 715, 467, 847, 136 |
| 5 | 405, 715, 467, 847, 68 |
| 11 | 81, 143, 467, 847, 68 |
| 81, 13, 467, 77, 68 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 81 x 13 x 467 x 77 x 68 = 283228905960
Therefore, the lowest common multiple of 810,715,467,847,136 is 283228905960.
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.
810 x 715 x 467 x 847 x 136 = 31155179655600
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
715 : 1, 5, 11, 13, 55, 65, 143, 715
467 : 1, 467
847 : 1, 7, 11, 77, 121, 847
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,715,467,847,136, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
715:5x 11x 13
467:467
847:7x 11x 11
136:2x 2x 2x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 31155179655600/(1x110)
LCM = 31155179655600/110
LCM = 283228905960
Thus, we can understand that the LCM of 810,715,467,847,136 is 283228905960.
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FAQs on LCM of 810, 715, 467, 847, 136
1. What is the LCM of 810, 715, 467, 847, 136?
Answer: LCM of 810, 715, 467, 847, 136 is 283228905960.
2. How to calculate the LCM of 810, 715, 467, 847, 136?
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 810, 715, 467, 847, 136.
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}.