LCM of 853, 879, 213, 852, 771
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 879, 213, 852, 771 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, 879, 213, 852, 771. So, keep reading to learn more.
Given numbers are 853,879,213,852,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,879,213,852,771 is 54725453556.
Find LCM of 853,879,213,852,771 with Prime Factorization
| 3 | 853, 879, 213, 852, 771 |
| 71 | 853, 293, 71, 284, 257 |
| 853, 293, 1, 4, 257 |
Multiply the prime numbers at the bottom and the left side.
3 x 71 x 853 x 293 x 1 x 4 x 257 = 54725453556
Therefore, the lowest common multiple of 853,879,213,852,771 is 54725453556.
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 879 x 213 x 852 x 771 = 104908694466852
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
879 : 1, 3, 293, 879
213 : 1, 3, 71, 213
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,879,213,852,771, is 1.
Now, the common factors can be found like this.
853:853
879:3x 293
213:3x 71
852:2x 2x 3x 71
771:3x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 71 = 1917
Therefore, the value for common factors is 1917.
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 = 104908694466852/(1x1917)
LCM = 104908694466852/1917
LCM = 54725453556
Thus, we can understand that the LCM of 853,879,213,852,771 is 54725453556.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 853, 879, 213, 852, 771
1. What is the LCM of 853, 879, 213, 852, 771?
Answer: LCM of 853, 879, 213, 852, 771 is 54725453556.
2. How to calculate the LCM of 853, 879, 213, 852, 771?
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, 879, 213, 852, 771.
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}.