LCM of 999, 879, 148, 111
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 999, 879, 148, 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 999, 879, 148, 111. So, keep reading to learn more.
Given numbers are 999,879,148,111
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 999,879,148,111 is 1170828.
Find LCM of 999,879,148,111 with Prime Factorization
| 3 | 999, 879, 148, 111 |
| 37 | 333, 293, 148, 37 |
| 9, 293, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 37 x 9 x 293 x 4 x 1 = 1170828
Therefore, the lowest common multiple of 999,879,148,111 is 1170828.
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.
999 x 879 x 148 x 111 = 14425771788
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.
999 : 1, 3, 9, 27, 37, 111, 333, 999
879 : 1, 3, 293, 879
148 : 1, 2, 4, 37, 74, 148
111 : 1, 3, 37, 111
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 999,879,148,111, is 1.
Now, the common factors can be found like this.
999:3x 3x 3x 37
879:3x 293
148:2x 2x 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.
3x 3x 37x 37 = 12321
Therefore, the value for common factors is 12321.
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 = 14425771788/(1x12321)
LCM = 14425771788/12321
LCM = 1170828
Thus, we can understand that the LCM of 999,879,148,111 is 1170828.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 999, 879, 148, 111
1. What is the LCM of 999, 879, 148, 111?
Answer: LCM of 999, 879, 148, 111 is 1170828.
2. How to calculate the LCM of 999, 879, 148, 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 999, 879, 148, 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}.