LCM of 927, 867, 988, 403, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 927, 867, 988, 403, 680 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 927, 867, 988, 403, 680. So, keep reading to learn more.
Given numbers are 927,867,988,403,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,867,988,403,680 is 82053330840.
Find LCM of 927,867,988,403,680 with Prime Factorization
| 2 | 927, 867, 988, 403, 680 |
| 2 | 927, 867, 494, 403, 340 |
| 3 | 927, 867, 247, 403, 170 |
| 13 | 309, 289, 247, 403, 170 |
| 17 | 309, 289, 19, 31, 170 |
| 309, 17, 19, 31, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 309 x 17 x 19 x 31 x 10 = 82053330840
Therefore, the lowest common multiple of 927,867,988,403,680 is 82053330840.
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.
927 x 867 x 988 x 403 x 680 = 217605433387680
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.
927 : 1, 3, 9, 103, 309, 927
867 : 1, 3, 17, 51, 289, 867
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
403 : 1, 13, 31, 403
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,867,988,403,680, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
867:3x 17x 17
988:2x 2x 13x 19
403:13x 31
680:2x 2x 2x 5x 17
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 3x 13x 17 = 2652
Therefore, the value for common factors is 2652.
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 = 217605433387680/(1x2652)
LCM = 217605433387680/2652
LCM = 82053330840
Thus, we can understand that the LCM of 927,867,988,403,680 is 82053330840.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 927, 867, 988, 403, 680
1. What is the LCM of 927, 867, 988, 403, 680?
Answer: LCM of 927, 867, 988, 403, 680 is 82053330840.
2. How to calculate the LCM of 927, 867, 988, 403, 680?
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 927, 867, 988, 403, 680.
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}.