LCM of 779, 979, 616, 707, 303
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 979, 616, 707, 303 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 779, 979, 616, 707, 303. So, keep reading to learn more.
Given numbers are 779,979,616,707,303
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,979,616,707,303 is 12940492488.
Find LCM of 779,979,616,707,303 with Prime Factorization
| 7 | 779, 979, 616, 707, 303 |
| 11 | 779, 979, 88, 101, 303 |
| 101 | 779, 89, 8, 101, 303 |
| 779, 89, 8, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 101 x 779 x 89 x 8 x 1 x 3 = 12940492488
Therefore, the lowest common multiple of 779,979,616,707,303 is 12940492488.
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.
779 x 979 x 616 x 707 x 303 = 100638210079176
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.
779 : 1, 19, 41, 779
979 : 1, 11, 89, 979
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
707 : 1, 7, 101, 707
303 : 1, 3, 101, 303
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,979,616,707,303, is 1.
Now, the common factors can be found like this.
779:19x 41
979:11x 89
616:2x 2x 2x 7x 11
707:7x 101
303:3x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11x 101 = 7777
Therefore, the value for common factors is 7777.
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 = 100638210079176/(1x7777)
LCM = 100638210079176/7777
LCM = 12940492488
Thus, we can understand that the LCM of 779,979,616,707,303 is 12940492488.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 779, 979, 616, 707, 303
1. What is the LCM of 779, 979, 616, 707, 303?
Answer: LCM of 779, 979, 616, 707, 303 is 12940492488.
2. How to calculate the LCM of 779, 979, 616, 707, 303?
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 779, 979, 616, 707, 303.
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}.