LCM of 776, 990, 824, 836
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 776, 990, 824, 836 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 776, 990, 824, 836. So, keep reading to learn more.
Given numbers are 776,990,824,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 776,990,824,836 is 751722840.
Find LCM of 776,990,824,836 with Prime Factorization
| 2 | 776, 990, 824, 836 |
| 2 | 388, 495, 412, 418 |
| 2 | 194, 495, 206, 209 |
| 11 | 97, 495, 103, 209 |
| 97, 45, 103, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 97 x 45 x 103 x 19 = 751722840
Therefore, the lowest common multiple of 776,990,824,836 is 751722840.
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.
776 x 990 x 824 x 836 = 529212879360
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.
776 : 1, 2, 4, 8, 97, 194, 388, 776
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
824 : 1, 2, 4, 8, 103, 206, 412, 824
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,990,824,836, is 2.
Now, the common factors can be found like this.
776:2x 2x 2x 97
990:2x 3x 3x 5x 11
824:2x 2x 2x 103
836:2x 2x 11x 19
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 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 529212879360/(2x352)
LCM = 529212879360/704
LCM = 751722840
Thus, we can understand that the LCM of 776,990,824,836 is 751722840.
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FAQs on LCM of 776, 990, 824, 836
1. What is the LCM of 776, 990, 824, 836?
Answer: LCM of 776, 990, 824, 836 is 751722840.
2. How to calculate the LCM of 776, 990, 824, 836?
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 776, 990, 824, 836.
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}.