LCM of 987, 391, 969, 816, 995
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 391, 969, 816, 995 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 987, 391, 969, 816, 995. So, keep reading to learn more.
Given numbers are 987,391,969,816,995
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,391,969,816,995 is 116732174160.
Find LCM of 987,391,969,816,995 with Prime Factorization
| 3 | 987, 391, 969, 816, 995 |
| 17 | 329, 391, 323, 272, 995 |
| 329, 23, 19, 16, 995 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 329 x 23 x 19 x 16 x 995 = 116732174160
Therefore, the lowest common multiple of 987,391,969,816,995 is 116732174160.
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.
987 x 391 x 969 x 816 x 995 = 303620384990160
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
391 : 1, 17, 23, 391
969 : 1, 3, 17, 19, 51, 57, 323, 969
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
995 : 1, 5, 199, 995
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,391,969,816,995, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
391:17x 23
969:3x 17x 19
816:2x 2x 2x 2x 3x 17
995:5x 199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17x 17 = 2601
Therefore, the value for common factors is 2601.
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 = 303620384990160/(1x2601)
LCM = 303620384990160/2601
LCM = 116732174160
Thus, we can understand that the LCM of 987,391,969,816,995 is 116732174160.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 987, 391, 969, 816, 995
1. What is the LCM of 987, 391, 969, 816, 995?
Answer: LCM of 987, 391, 969, 816, 995 is 116732174160.
2. How to calculate the LCM of 987, 391, 969, 816, 995?
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 987, 391, 969, 816, 995.
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}.