LCM of 995, 111, 481, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 995, 111, 481, 949 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 995, 111, 481, 949. So, keep reading to learn more.
Given numbers are 995,111,481,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,111,481,949 is 104812305.
Find LCM of 995,111,481,949 with Prime Factorization
| 13 | 995, 111, 481, 949 |
| 37 | 995, 111, 37, 73 |
| 995, 3, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
13 x 37 x 995 x 3 x 1 x 73 = 104812305
Therefore, the lowest common multiple of 995,111,481,949 is 104812305.
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.
995 x 111 x 481 x 949 = 50414718705
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.
995 : 1, 5, 199, 995
111 : 1, 3, 37, 111
481 : 1, 13, 37, 481
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,111,481,949, is 1.
Now, the common factors can be found like this.
995:5x 199
111:3x 37
481:13x 37
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 37 = 481
Therefore, the value for common factors is 481.
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 = 50414718705/(1x481)
LCM = 50414718705/481
LCM = 104812305
Thus, we can understand that the LCM of 995,111,481,949 is 104812305.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 995, 111, 481, 949
1. What is the LCM of 995, 111, 481, 949?
Answer: LCM of 995, 111, 481, 949 is 104812305.
2. How to calculate the LCM of 995, 111, 481, 949?
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 995, 111, 481, 949.
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}.