LCM of 853, 715, 912, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 715, 912, 992 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 853, 715, 912, 992. So, keep reading to learn more.
Given numbers are 853,715,912,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,715,912,992 is 34485902880.
Find LCM of 853,715,912,992 with Prime Factorization
| 2 | 853, 715, 912, 992 |
| 2 | 853, 715, 456, 496 |
| 2 | 853, 715, 228, 248 |
| 2 | 853, 715, 114, 124 |
| 853, 715, 57, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 853 x 715 x 57 x 62 = 34485902880
Therefore, the lowest common multiple of 853,715,912,992 is 34485902880.
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.
853 x 715 x 912 x 992 = 551774446080
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.
853 : 1, 853
715 : 1, 5, 11, 13, 55, 65, 143, 715
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,715,912,992, is 1.
Now, the common factors can be found like this.
853:853
715:5x 11x 13
912:2x 2x 2x 2x 3x 19
992:2x 2x 2x 2x 2x 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 2x 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 551774446080/(1x16)
LCM = 551774446080/16
LCM = 34485902880
Thus, we can understand that the LCM of 853,715,912,992 is 34485902880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 853, 715, 912, 992
1. What is the LCM of 853, 715, 912, 992?
Answer: LCM of 853, 715, 912, 992 is 34485902880.
2. How to calculate the LCM of 853, 715, 912, 992?
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 853, 715, 912, 992.
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}.