LCM of 836, 223, 715, 185, 111
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 223, 715, 185, 111 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 836, 223, 715, 185, 111. So, keep reading to learn more.
Given numbers are 836,223,715,185,111
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,223,715,185,111 is 1345078020.
Find LCM of 836,223,715,185,111 with Prime Factorization
| 5 | 836, 223, 715, 185, 111 |
| 11 | 836, 223, 143, 37, 111 |
| 37 | 76, 223, 13, 37, 111 |
| 76, 223, 13, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 37 x 76 x 223 x 13 x 1 x 3 = 1345078020
Therefore, the lowest common multiple of 836,223,715,185,111 is 1345078020.
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.
836 x 223 x 715 x 185 x 111 = 2737233770700
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
223 : 1, 223
715 : 1, 5, 11, 13, 55, 65, 143, 715
185 : 1, 5, 37, 185
111 : 1, 3, 37, 111
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,223,715,185,111, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
223:223
715:5x 11x 13
185:5x 37
111:3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 37 = 2035
Therefore, the value for common factors is 2035.
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 = 2737233770700/(1x2035)
LCM = 2737233770700/2035
LCM = 1345078020
Thus, we can understand that the LCM of 836,223,715,185,111 is 1345078020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 836, 223, 715, 185, 111
1. What is the LCM of 836, 223, 715, 185, 111?
Answer: LCM of 836, 223, 715, 185, 111 is 1345078020.
2. How to calculate the LCM of 836, 223, 715, 185, 111?
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 836, 223, 715, 185, 111.
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}.