Find the LCM of 835, 319, 287, 979 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 835, 319, 287, 979. So, keep reading to learn more.
Given numbers are 835,319,287,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,319,287,979 is 6803761195.
Find LCM of 835,319,287,979 with Prime Factorization
11 | 835, 319, 287, 979 |
835, 29, 287, 89 |
Multiply the prime numbers at the bottom and the left side.
11 x 835 x 29 x 287 x 89 = 6803761195
Therefore, the lowest common multiple of 835,319,287,979 is 6803761195.
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.
835 x 319 x 287 x 979 = 74841373145
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.
835 : 1, 5, 167, 835
319 : 1, 11, 29, 319
287 : 1, 7, 41, 287
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,319,287,979, is 1.
Now, the common factors can be found like this.
835:5x 167
319:11x 29
287:7x 41
979:11x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 74841373145/(1x11)
LCM = 74841373145/11
LCM = 6803761195
Thus, we can understand that the LCM of 835,319,287,979 is 6803761195.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 835, 319, 287, 979?
Answer: LCM of 835, 319, 287, 979 is 6803761195.
2. How to calculate the LCM of 835, 319, 287, 979?
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 835, 319, 287, 979.
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}.