LCM of 821, 388, 635, 930, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 388, 635, 930, 779 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 821, 388, 635, 930, 779. So, keep reading to learn more.
Given numbers are 821,388,635,930,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,388,635,930,779 is 14654432817060.
Find LCM of 821,388,635,930,779 with Prime Factorization
| 2 | 821, 388, 635, 930, 779 |
| 5 | 821, 194, 635, 465, 779 |
| 821, 194, 127, 93, 779 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 821 x 194 x 127 x 93 x 779 = 14654432817060
Therefore, the lowest common multiple of 821,388,635,930,779 is 14654432817060.
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.
821 x 388 x 635 x 930 x 779 = 146544328170600
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.
821 : 1, 821
388 : 1, 2, 4, 97, 194, 388
635 : 1, 5, 127, 635
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,388,635,930,779, is 1.
Now, the common factors can be found like this.
821:821
388:2x 2x 97
635:5x 127
930:2x 3x 5x 31
779:19x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 146544328170600/(1x10)
LCM = 146544328170600/10
LCM = 14654432817060
Thus, we can understand that the LCM of 821,388,635,930,779 is 14654432817060.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 821, 388, 635, 930, 779
1. What is the LCM of 821, 388, 635, 930, 779?
Answer: LCM of 821, 388, 635, 930, 779 is 14654432817060.
2. How to calculate the LCM of 821, 388, 635, 930, 779?
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 821, 388, 635, 930, 779.
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}.