LCM of 808, 899, 664, 944, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 899, 664, 944, 754 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 808, 899, 664, 944, 754. So, keep reading to learn more.
Given numbers are 808,899,664,944,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,899,664,944,754 is 92485682224.
Find LCM of 808,899,664,944,754 with Prime Factorization
| 2 | 808, 899, 664, 944, 754 |
| 2 | 404, 899, 332, 472, 377 |
| 2 | 202, 899, 166, 236, 377 |
| 29 | 101, 899, 83, 118, 377 |
| 101, 31, 83, 118, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 29 x 101 x 31 x 83 x 118 x 13 = 92485682224
Therefore, the lowest common multiple of 808,899,664,944,754 is 92485682224.
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.
808 x 899 x 664 x 944 x 754 = 343306852415488
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
899 : 1, 29, 31, 899
664 : 1, 2, 4, 8, 83, 166, 332, 664
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,899,664,944,754, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
899:29x 31
664:2x 2x 2x 83
944:2x 2x 2x 2x 59
754:2x 13x 29
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 2x 2x 2x 29 = 3712
Therefore, the value for common factors is 3712.
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 = 343306852415488/(1x3712)
LCM = 343306852415488/3712
LCM = 92485682224
Thus, we can understand that the LCM of 808,899,664,944,754 is 92485682224.
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FAQs on LCM of 808, 899, 664, 944, 754
1. What is the LCM of 808, 899, 664, 944, 754?
Answer: LCM of 808, 899, 664, 944, 754 is 92485682224.
2. How to calculate the LCM of 808, 899, 664, 944, 754?
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 808, 899, 664, 944, 754.
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}.