LCM of 930, 825, 979, 811
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 825, 979, 811 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 930, 825, 979, 811. So, keep reading to learn more.
Given numbers are 930,825,979,811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,825,979,811 is 3691955850.
Find LCM of 930,825,979,811 with Prime Factorization
| 3 | 930, 825, 979, 811 |
| 5 | 310, 275, 979, 811 |
| 11 | 62, 55, 979, 811 |
| 62, 5, 89, 811 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 62 x 5 x 89 x 811 = 3691955850
Therefore, the lowest common multiple of 930,825,979,811 is 3691955850.
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.
930 x 825 x 979 x 811 = 609172715250
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
979 : 1, 11, 89, 979
811 : 1, 811
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,825,979,811, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
825:3x 5x 5x 11
979:11x 89
811:811
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11 = 165
Therefore, the value for common factors is 165.
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 = 609172715250/(1x165)
LCM = 609172715250/165
LCM = 3691955850
Thus, we can understand that the LCM of 930,825,979,811 is 3691955850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 930, 825, 979, 811
1. What is the LCM of 930, 825, 979, 811?
Answer: LCM of 930, 825, 979, 811 is 3691955850.
2. How to calculate the LCM of 930, 825, 979, 811?
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 930, 825, 979, 811.
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}.