LCM of 723, 831, 920, 906, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 831, 920, 906, 899 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 723, 831, 920, 906, 899. So, keep reading to learn more.
Given numbers are 723,831,920,906,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,831,920,906,899 is 25011660940680.
Find LCM of 723,831,920,906,899 with Prime Factorization
| 2 | 723, 831, 920, 906, 899 |
| 3 | 723, 831, 460, 453, 899 |
| 241, 277, 460, 151, 899 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 241 x 277 x 460 x 151 x 899 = 25011660940680
Therefore, the lowest common multiple of 723,831,920,906,899 is 25011660940680.
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.
723 x 831 x 920 x 906 x 899 = 450209896932240
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.
723 : 1, 3, 241, 723
831 : 1, 3, 277, 831
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
906 : 1, 2, 3, 6, 151, 302, 453, 906
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,831,920,906,899, is 1.
Now, the common factors can be found like this.
723:3x 241
831:3x 277
920:2x 2x 2x 5x 23
906:2x 3x 151
899:29x 31
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 3 = 18
Therefore, the value for common factors is 18.
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 = 450209896932240/(1x18)
LCM = 450209896932240/18
LCM = 25011660940680
Thus, we can understand that the LCM of 723,831,920,906,899 is 25011660940680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 723, 831, 920, 906, 899
1. What is the LCM of 723, 831, 920, 906, 899?
Answer: LCM of 723, 831, 920, 906, 899 is 25011660940680.
2. How to calculate the LCM of 723, 831, 920, 906, 899?
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 723, 831, 920, 906, 899.
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}.