LCM of 979, 941, 808, 568, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 941, 808, 568, 364 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 979, 941, 808, 568, 364. So, keep reading to learn more.
Given numbers are 979,941,808,568,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,941,808,568,364 is 4809317144632.
Find LCM of 979,941,808,568,364 with Prime Factorization
| 2 | 979, 941, 808, 568, 364 |
| 2 | 979, 941, 404, 284, 182 |
| 2 | 979, 941, 202, 142, 91 |
| 979, 941, 101, 71, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 979 x 941 x 101 x 71 x 91 = 4809317144632
Therefore, the lowest common multiple of 979,941,808,568,364 is 4809317144632.
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.
979 x 941 x 808 x 568 x 364 = 153898148628224
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.
979 : 1, 11, 89, 979
941 : 1, 941
808 : 1, 2, 4, 8, 101, 202, 404, 808
568 : 1, 2, 4, 8, 71, 142, 284, 568
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,941,808,568,364, is 1.
Now, the common factors can be found like this.
979:11x 89
941:941
808:2x 2x 2x 101
568:2x 2x 2x 71
364:2x 2x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 153898148628224/(1x32)
LCM = 153898148628224/32
LCM = 4809317144632
Thus, we can understand that the LCM of 979,941,808,568,364 is 4809317144632.
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FAQs on LCM of 979, 941, 808, 568, 364
1. What is the LCM of 979, 941, 808, 568, 364?
Answer: LCM of 979, 941, 808, 568, 364 is 4809317144632.
2. How to calculate the LCM of 979, 941, 808, 568, 364?
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 979, 941, 808, 568, 364.
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}.