LCM of 995, 836, 782, 935, 116
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 995, 836, 782, 935, 116 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 995, 836, 782, 935, 116. So, keep reading to learn more.
Given numbers are 995,836,782,935,116
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,836,782,935,116 is 9432006980.
Find LCM of 995,836,782,935,116 with Prime Factorization
| 2 | 995, 836, 782, 935, 116 |
| 2 | 995, 418, 391, 935, 58 |
| 5 | 995, 209, 391, 935, 29 |
| 11 | 199, 209, 391, 187, 29 |
| 17 | 199, 19, 391, 17, 29 |
| 199, 19, 23, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 17 x 199 x 19 x 23 x 1 x 29 = 9432006980
Therefore, the lowest common multiple of 995,836,782,935,116 is 9432006980.
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.
995 x 836 x 782 x 935 x 116 = 70551412210400
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.
995 : 1, 5, 199, 995
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
782 : 1, 2, 17, 23, 34, 46, 391, 782
935 : 1, 5, 11, 17, 55, 85, 187, 935
116 : 1, 2, 4, 29, 58, 116
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,836,782,935,116, is 1.
Now, the common factors can be found like this.
995:5x 199
836:2x 2x 11x 19
782:2x 17x 23
935:5x 11x 17
116:2x 2x 29
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 5x 11x 17 = 7480
Therefore, the value for common factors is 7480.
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 = 70551412210400/(1x7480)
LCM = 70551412210400/7480
LCM = 9432006980
Thus, we can understand that the LCM of 995,836,782,935,116 is 9432006980.
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FAQs on LCM of 995, 836, 782, 935, 116
1. What is the LCM of 995, 836, 782, 935, 116?
Answer: LCM of 995, 836, 782, 935, 116 is 9432006980.
2. How to calculate the LCM of 995, 836, 782, 935, 116?
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 995, 836, 782, 935, 116.
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}.